$$ \begin{aligned} -4(2x+5)-3x &= 35&& \text{simplify left side} \\[1 em]-(8x+20)-3x &= 35&& \\[1 em]-8x-20-3x &= 35&& \\[1 em]-11x-20 &= 35&& \text{ move -20 to the right } \\[1 em]-11x &= 35+20&& \\[1 em]-11x &= 55&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= -\frac{55}{11}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$
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