$$ \begin{aligned} \frac{x}{7}+9 &= 12&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7 \cdot \frac{x}{7}+7\cdot9 &= 7\cdot12&& \text{cancel out the denominators} \\[1 em]x+63 &= 84&& \text{ move 63 to the right } \\[1 em]x &= 84-63&& \\[1 em]x &= 21&& \\[1 em]x &= 21&& \\[1 em] \end{aligned} $$
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