$$ \begin{aligned} 5(-2x+4)-x+3 &= 34&& \text{simplify left side} \\[1 em]-10x+20-x+3 &= 34&& \\[1 em]-11x+23 &= 34&& \text{ move 23 to the right } \\[1 em]-11x &= 34-23&& \\[1 em]-11x &= 11&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= -\frac{11}{11}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$
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