Polynomial equation.

Algebra Level 5

Let p(x)p(x) be a polynomial that satisfies p(1)=210p(1)=210 and (x+10)p(2x)=(8x32)p(x+6)(x+10)p(2x)=(8x-32)p(x+6) for any real number x.x. Find the sum of all possible values of p(10).p(10).

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