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R. Kelly's dangerously close to heading right back to Cook County jail for failing to pay more than $160k in child support.

Sources connected to the embattled singer tell us Kelly hasn't covered the $161,633 he owes to his ex-wife, Drea Kelly, and his deadline is today ... Wednesday at 10 AM Central Time. If Kelly doesn't settle up with the court by then, he can be hauled off to jail.