# $$x$$ in the Exponents? Not again!

Algebra Level 2

The equation $\dfrac{8^x+27^x}{12^x+18^x}=\dfrac76$ has two integer solutions, we'll denote as $$a,b$$. Find the value of $\sqrt{\color{white}{\overline{{\color{black}{2a^2+2b^2}}}}}.$

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