$$ \begin{aligned} -11x-4 &= -6x+31&& \text{move the $ \color{blue}{ -6x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]-11x+6x &= 31+4&& \text{simplify left and right hand side} \\[1 em]-5x &= 35&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{35}{5}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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