$$ \begin{aligned} 2+34x &= x-34x&& \text{simplify left and right hand side} \\[1 em]34x+2 &= -33x&& \text{move the $ \color{blue}{ -33x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]34x+33x &= -2&& \text{simplify left side} \\[1 em]67x &= -2&& \text{ divide both sides by $ 67 $ } \\[1 em]x &= -\frac{2}{67}&& \\[1 em] \end{aligned} $$

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