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Given that 5783 is a prime, find the number of solutions to x + 3x + 3 = 0 mod 5783.

Given that 5783 is a prime, find the number of solutions to X+ 3x + 3 = 0 mod 5783.

Given that 5783 is a prime, find the number of solutions to x + 3x + 3 = 0 mod 5783.

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