$$ \begin{aligned} 7x-5 &= 9x+9&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]7x-9x &= 9+5&& \text{simplify left and right hand side} \\[1 em]-2x &= 14&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{14}{2}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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