Fraction Sum

Algebra Level 2

\[\large\dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{8} + \dfrac{1}{16} + \dfrac{1}{32} + \dfrac{1}{64} + \dfrac{1}{128} +\dfrac{1}{256} +\dfrac{1}{x} = 1\]

Find the value of \( x\) satisfying the above equation.

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