Revealing mistake: In the scene where Axel throws the art dealer's henchman onto the buffet table, if you watch carefully (or use slow-mo) you can see the stunt double pulling off that manoeuvre. There is also a stunt double being thrown over the table.

Beverly Hills Cop (1984)
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Directed by: Martin Brest
Starring: Eddie Murphy, Judge Reinhold, Ronny Cox, Steven Berkoff, John Ashton, Lisa Eilbacher
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Police Chief Hubbard: What's this man doing here?
Axel Foley: Bleeding, sir.
Trivia: Was the highest-grossing R-rated film of all time for nearly twenty years until "The Matrix Reloaded" upseated it on June 3, 2003. In the history of R-rated films, it held the longest record for high grosser (19 years).
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Answer: Axel gets knocked out by one of the thugs as soon as he opens the door. His boss later make mention of the fact that he's lucky he didn't get killed too. They probably spared him because he didn't see who hit him and therefore could not tell anyone what they looked like.
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