$$ \begin{aligned} 6x-7 &= 2x+9&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]6x-2x &= 9+7&& \text{simplify left and right hand side} \\[1 em]4x &= 16&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{16}{4}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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