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The real number xxx satisfying the equation x+2x−1+x−2x−1=10 \sqrt{ x + \sqrt{2x-1} } + \sqrt{x - \sqrt{2x-1} } = 10x+2x−1+x−2x−1=10 can be written as ab \frac{a}{b} ba where aaa and bbb are positive coprime integers. Find a+ba+ba+b.
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