$$ \begin{aligned} 100-30x-(20x+200) &= 0&& \text{simplify left side} \\[1 em]100-30x-20x-200 &= 0&& \\[1 em]-50x-100 &= 0&& \text{ move the constants to the right } \\[1 em]-50x &= 100&& \text{ divide both sides by $ -50 $ } \\[1 em]x &= -\frac{100}{50}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$
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