Dan Gosling sealed victory for Everton at West Ham United who remain in the relegation zone.
Louis Saha had put the Merseysiders in front after 27 minutes with a 20-yard strike against the run of play and Gosling added the second on 64 minutes after Robert Green had saved his initial effort.
However an own goal by Tony Hibbert a minute later ensured there was a tense finale for the visitors.
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