$$ \begin{aligned} 3+9x &= 9+6x&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]9x-6x &= 9-3&& \text{simplify left and right hand side} \\[1 em]3x &= 6&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{6}{3}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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