Polynomial twister

Algebra Level 3

Let x1,x2,,x2015x_1,x_2,\ldots,x_{2015} be the roots of the equation x2015+x2014+x2013++x2+x+1=0. x^{2015} + x^{2014} + x^{2013} + \ldots + x^2 + x + 1 =0. Evaluate

11x1+11x2++11x2015. \frac1{1-x_1} + \frac1{1-x_2} + \ldots + \frac1{1-x_{2015}}.

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