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Write the linear congruence 7x = 32 (mod 60) as a system of congruences modulo 3, 4, and 5. Solve the system and check

Write the linear congruence 7x = 32 (mod 60) as a system of congruences modulo 3, 4, and 5. Solve the system and check that the system has the same solutions as the original congruence.

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