$$ \begin{aligned} -4(-3x-4)-5x+5 &= -21&& \text{simplify left side} \\[1 em]-(-12x-16)-5x+5 &= -21&& \\[1 em]12x+16-5x+5 &= -21&& \\[1 em]7x+21 &= -21&& \text{ move 21 to the right } \\[1 em]7x &= -21-21&& \\[1 em]7x &= -42&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= -\frac{42}{7}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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