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PARIS -- Real Madrid started the defence of its Champions League crown with an emphatic 5-1 victory over Basel on Tuesday, while Liverpool celebrated its return to Europes top club competition with a dramatic 2-1 win against Bulgarian side Ludogorets. Madrids win should end talk of crisis following a poor start to the clubs domestic season. Goals by Gareth Bale, Cristiano Ronaldo, James Rodriguez, Karim Benzema and a Basel own-goal secured the 10-time champions a very comfortable victory in Group B. Five years after its last involvement in the Champions League, Liverpool needed a penalty from Steven Gerrard in the third minute of added time - just two minutes after Ludogorets looked to have snatched a draw - to earn all three points. Elsewhere, Borussia Dortmund beat Arsenal 2-0 and last seasons finalist Atletico Madrid lost 3-2 at Olympiakos. Madrids win was much easier as Carlo Ancelottis players silenced their critics with a beautiful display of free-flowing football, turning the page on a poor run of form. Madrid lost to Atletico in the Spanish Super Cup last month before Ancelottis side collapsed 4-2 at Real Sociedad in the league and followed up with a 2-1 loss to Atletico at home on Saturday. "I liked the teams reaction, I think the Bernabeu was happy," Ancelotti said. Against Basel, Madrid played with pace and was spectacular up front, despite the defence looking anything but solid. Madrid opened the scoring in the 14th minute when Jose Fernandezs shot was deflected in by Marek Suchy for an own-goal. Bale then received a clever ball from Luka Modric to double his teams lead and provided Ronaldo with a pass which the Portugal forward -- the competitions top scorer last season with 17 goals -- converted a minute later. Rodriguez added the fourth in the 37th before Derlis Gonzalez pulled one back for Basel in the 38th. Benzema made it five in the 79th after a pass from Ronaldo. Mario Balotelli got his first goal for Liverpool in the 82nd minute before Ludogorets, a side who had not won a game in UEFA competition before last season, equalized through Dani Abalo. Liverpool was then awarded a penalty when goalkeeper Milan Borjan brought down Javier Manquillo and Gerrard slotted home from the spot. "Looking at the game as a whole, we did OK. We didnt do better than OK," Gerrard said. "I thought they caused us quite a few problems on the counterattack, so theres a lot for myself and the lads to learn." In Group A, former Manchester United striker Carlos Tevez ended his European goal drought as he scored twice in a 2-0 win over Malmo, for his first goal in the competition since April 2009. The groups other game provided a shock in Athens, where Olympiakos defeated Atletico after Arthur Masuaku -- with a superb strike from outside the area -- and Ibrahim Afellay scored early goals. Mario Mandzukic pulled one back before Kostas Mitroglou extended the hosts lead. Antoine Griezmanns late strike from close range for Atletico did not prevent Olympiakos from earning the three points. Monaco won against the run of the play with a 1-0 victory over Leverkusen in Group C courtesy of Joao Moutinho goal, while Benficas 51-match unbeaten home record in all competition came to an end. Hulk and Axel Witsel scored first-half goals to give Zenit a 2-0 win against 10-man Benfica after goalkeeper Artur was sent off in the 18th for obstructing Danny. In Group D, Borussia Dortmund strikers Ciro Immobile and Pierre-Emerick Aubameyang scored either side of halftime to give their side victory over Arsenal. Immobile, signed from Torino in the off-season, sprinted almost half the length of the pitch and held off Arsenal defender Laurent Koscielny before dispatching a low shot inside the far post just before the break. "Im very happy to score, that we won, because it hasnt been easy for me to settle into the Bundesliga. Im happy that I was able to make my teammates happy," Immobile said. Galatasaray striker Burak Yilmaz scored in stoppage time to snatch a 1-1 draw against Anderlecht in the groups other match. Breeland Speaks Chiefs Jersey . -- Coyotes coach Dave Tippett thinks of one thing when he watches Eastern Conference teams struggle against Western opponents before they get to Phoenix: His team must keep pace. Dorian ODaniel Jersey . The commissioners office said Friday that Sears tested positive for metabolites of Methandienone. Sears will be 23 in March. He signed with the Braves in June 2013 out of Arizona Christian, an NAIA school, and is on the roster of the rookie-level Gulf Coast League Braves. http://www.thechiefsshoponline.com/Youth-Derrick-Nnadi-Chiefs-Jersey/ . 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