$$ \begin{aligned} 2(x-18) &= 6x-6+6&& \text{simplify left and right hand side} \\[1 em]2x-36 &= 6x-6+6&& \\[1 em]2x-36 &= 6x&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ -36 }$ to the right} \\[1 em]2x-6x &= 36&& \text{simplify left side} \\[1 em]-4x &= 36&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{36}{4}&& \\[1 em]x &= -9&& \\[1 em] \end{aligned} $$

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