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Let $x$ be the positive number such that $2x^2 = 4x + 9.$ If $x$ can be written in simplified form as $\dfrac{a + \sqrt{b}}{c}$ such that $a,$ $b,$ and $c$ are positive integers, what is $a + b + c$?
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Let $x$ be the positive number such that $2x^2 = 4x + 9.$
If $x$ can be written in simplified form...
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