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Lil Nas X isn't looking to put on a show for his cellmates in jail ... choosing instead to keep a low profile and be on his best behavior behind bars, TMZ has learned.

Law enforcement sources tell TMZ ... police haven't had any issues with Lil Nas since he arrived at the jail in Van Nuys this week . We're told the "Old Town Road" rapper hasn't tried to put on any shows or sung for those also at the jail ... though, it's not like he'd have much on an audience. Alamy

Since Lil Nas is currently in a pre-arraignment jail, there's not a lot of activities going on ... with most people finding themselves there for a few days at most. Gallery Launch Gallery

The rapper does have access to TV, as a few are set up so those detained can watch from the cells -- but don't expect Ne

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