$$ \begin{aligned} 27+9x &= 12x-6&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ 27 }$ to the right} \\[1 em]9x-12x &= -6-27&& \text{simplify left and right hand side} \\[1 em]-3x &= -33&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-33}{-3}&& \\[1 em]x &= 11&& \\[1 em] \end{aligned} $$
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