Should you simplify?

(1+x)(1+x+x2)(1+x+x2+x3)(1+x+x2+x3+x4)(1+x+x2+x3+x4+x5)(1+x)(1+x+x^2)(1+x+x^2+x^3)(1+x+x^2+x^3+x^4)(1+x+x^2+x^3+x^4+x^5)

Find the coefficient of x5x^5 in the above expression.

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