$$ \begin{aligned} 9x+7 &= 5x+31&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]9x-5x &= 31-7&& \text{simplify left and right hand side} \\[1 em]4x &= 24&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{24}{4}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$
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