$$ \begin{aligned} -3(2x-3)+x &= -31&& \text{simplify left side} \\[1 em]-(6x-9)+x &= -31&& \\[1 em]-6x+9+x &= -31&& \\[1 em]-5x+9 &= -31&& \text{ move 9 to the right } \\[1 em]-5x &= -31-9&& \\[1 em]-5x &= -40&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= \frac{-40}{-5}&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$
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