Marko Arnautovic's clever cut-back picked out the unmarked Manuel Lanzini at the edge of the box, but his shot was too close to Kepa Arrizabalaga before Aaron Cresswell then arrowed a shot inches wide of the far post.
Hazard has made no secret of enjoying his partnership with France striker Olivier Giroud at Chelsea, but also revealed he and loan signing Gonzalo Higuain are also beginning to click.
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The difference in the end was the skill of Eden Hazard. Of course, sometimes, you have to say something different.
Premier League goals (16 goals, 12 assists) Eden Hazard has been involved in, more than any other player this season.
The Hammers have been castigated for letting Hazard through, but like with Lionel Messi or Diego Maradona, sometimes these fleet-footed dribblers are hard to stop.
Lanzini, Anderson, Javier Hernandez and Arnautovic on the wing were totally ineffective and wasteful on the ball and the Hammers did well to restrict Chelsea to just that Hazard goal by the break.
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"I think I'd go for Tottenham really as favourites to be in the top four, 'cos they've got four home games left to play and I think there were signs last week that they're probably getting their mojo back at Crystal Palace and now they're in their new home as well", he said.
"If we lose by playing the way we played in the second-half for the whole game, we have no complaints", said Pellegrini. Off was "Chicharito" with "Arnie" going up top, while Robert Snodgrass came off the bench. We are hungry to play and everything we worked for, we want to get into the team. "But we are hungry to play, all of us", he said.
"I scored twice and I'm happy but what's important is for me to win games, that's it".
The Slavia president, Jaroslav Tvrdík, suggested the objects had included "paper cups and batteries", and urged the club's supporters to behave and show the world "we have excellent players, and excellent fans, too". "We're still young, we know that, but we want to play".
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"Manchester United, I saw them recently against Watford". It is tough enough playing in the Premier League without having to constantly come from behind. West Ham are not going down and they are nearly certainly not going to finish seventh.