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If 2^x(2^x - 1) + 2^(x-1)(2^(x-1) - 1) +...

If `2^x(2^x - 1) + 2^(x-1)(2^(x-1) - 1) + 2^(x-2)(2^(x-2) - 1) + ......... 2^(x-99)(2^(x-99) - 1) = 0`, then find the value of `x-99`.

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