Question
$$-4(2x+1)+4x+3 = -17$$
Answer
$$ x = 4 $$
Explanation
$$ \begin{aligned} -4(2x+1)+4x+3 &= -17&& \text{simplify left side} \\[1 em]-(8x+4)+4x+3 &= -17&& \\[1 em]-8x-4+4x+3 &= -17&& \\[1 em]-4x-1 &= -17&& \text{ move -1 to the right } \\[1 em]-4x &= -17+1&& \\[1 em]-4x &= -16&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-16}{-4}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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