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Let m be the smallest positive integer such that the coefficient of x in the expansion of (1 + x) + (1 + x)

Let m be the smallest positive integer such that the coefficient of x in the expansion of (1 + x) + (1 + x) + + (1 + x)4 + (1 + mx)50 is (3n+ 1) 5C3 for some positive integer n. Then the value of n is ...

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