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x3+(x+1)3+⋯+(x+7)3=y3\large{x^3 + (x + 1)^{3} + \cdots + (x + 7)^{3} = y^3}x3+(x+1)3+⋯+(x+7)3=y3
Find the sum of all integer solutions of x,yx,yx,y satisfying the above equation.
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