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Arnold Schwarzenegger's hottie son Patrick stopped by Barneys New York in Beverly Hills for a little impromptu shopping trip on Thursday, and now that he's landed a modeling job with Hudson jeans, the guy's finally got his own money to burn!

The 17-year-old had a minor brush with the law last week when he was pulled over by police in Santa Monica for speeding in his father's 2009 black Audi, after going 54 mph in a 35mph zone.

Patrick, who turned 18 this month, was cited for the violation, and sent on his way.