Rational?

Algebra Level 3

Given that (1x)(1+x+x2+x3+x4)=3132(1-x)(1+x+x^{2}+x^{3}+x^{4}) = \dfrac{31}{32} and xx is a rational number, what is 1+x+x2+x3+x4+x51+x+x^{2}+x^{3}+x^{4}+x^{5}?

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