$$ \begin{aligned} -6x-7 &= -9x+8&& \text{move the $ \color{blue}{ -9x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]-6x+9x &= 8+7&& \text{simplify left and right hand side} \\[1 em]3x &= 15&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{15}{3}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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