$$ \begin{aligned} 5x+2-1 &= 9x+14x+2&& \text{simplify left and right hand side} \\[1 em]5x+1 &= 23x+2&& \text{move the $ \color{blue}{ 23x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]5x-23x &= 2-1&& \text{simplify left and right hand side} \\[1 em]-18x &= 1&& \text{ divide both sides by $ -18 $ } \\[1 em]x &= -\frac{1}{18}&& \\[1 em] \end{aligned} $$

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