$$ \begin{aligned} 8(-5x-8) &= -3x-4&& \text{simplify left side} \\[1 em]-40x-64 &= -3x-4&& \text{move the $ \color{blue}{ -3x } $ to the left side and $ \color{blue}{ -64 }$ to the right} \\[1 em]-40x+3x &= -4+64&& \text{simplify left and right hand side} \\[1 em]-37x &= 60&& \text{ divide both sides by $ -37 $ } \\[1 em]x &= -\frac{60}{37}&& \\[1 em] \end{aligned} $$
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