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Algebra Level 3

Find the value of

x2014+x2013+x2012+...+x3+x2+x1x2014+1x2013+1x2012+...+1x3+1x2+1x \frac {x^{2014} + x^{2013} + x^{2012} + . . . + x^3 + x^2 + x} { \frac {1}{x^{2014}} + \frac {1}{x^{2013}} + \frac {1}{x^{2012}} + . . . + \frac {1}{x^3} + \frac {1}{x^2} + \frac {1}{x}}

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