$$ \begin{aligned} 7(x+7) &= 5x+59&& \text{simplify left side} \\[1 em]7x+49 &= 5x+59&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 49 }$ to the right} \\[1 em]7x-5x &= 59-49&& \text{simplify left and right hand side} \\[1 em]2x &= 10&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{10}{2}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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