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Prince Jackson clearly knows how to compartmentalize his life … because he hit the town Tuesday night in low fashion, attending the premiere of True Blood, Season 6.

The 16-year-old and his GF, Remi Alfalah, were flanked by 3 bodyguards as they left the ArcLight in Hollywood.

People inside the screening tell us … they were “touchy-feely” and seemed happy.   Almost everyone was dressed up — except Prince, which either makes him a slouch or a baller.

Prince seemed annoyed when photogs asked him about his sister, Paris … specifically how he felt about the possibility that Debbie Rowe could become her guardian.

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Read more: http://www.tmz.com/2013/06/12/prince-jackson-true-blood-premiere-remi-alfalah-paris-jackson-suicide-attempt-debbie-rowe/#ixzz2WCH05SKu