$$ \begin{aligned} -3x-1 &= 8x+34&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]-3x-8x &= 34+1&& \text{simplify left and right hand side} \\[1 em]-11x &= 35&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= -\frac{35}{11}&& \\[1 em] \end{aligned} $$
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