$$ \begin{aligned} 5(-2x+3)+3x+4 &= -23&& \text{simplify left side} \\[1 em]-10x+15+3x+4 &= -23&& \\[1 em]-7x+19 &= -23&& \text{ move 19 to the right } \\[1 em]-7x &= -23-19&& \\[1 em]-7x &= -42&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= \frac{-42}{-7}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$
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