$$ \begin{aligned} -62+11x &= 3(x+6)&& \text{simplify left and right hand side} \\[1 em]11x-62 &= 3x+18&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -62 }$ to the right} \\[1 em]11x-3x &= 18+62&& \text{simplify left and right hand side} \\[1 em]8x &= 80&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{80}{8}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$

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