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Prove the statement

If $x_1, x_2, ... , x_n$ solutions of the equation $x^n - 1 =0$

Prove that: $\frac{1}{1-x_1} + \frac{1}{1-x_2} + ... + \frac{1}{1-x_{n-1}} = \frac{n-1}{2}$

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