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Let the sum of all terms of the infinite series $2,\frac{3}{4},\frac{5}{16},\frac{9}{64},\frac{17}{256},\cdots$, be $x$.

Let $x$ have a rational representation as $x=\frac{a}{b}$, where $a$ and $b$ are co-prime.

What is the value of $a+b$.

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