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Given ^(8)C(1)x(1-x)^(7)+2.^(8)C(2)x^(2)...

Given `^(8)C_(1)x(1-x)^(7)+2.^(8)C_(2)x^(2)(1-x)^(6)+3.^(8)C_(3)x^(3)(1-x)^(5)+......+8.x^(8) = ax+b`, Find `a+b`.

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