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

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