$$ \begin{aligned} \frac{x}{3}+4 &= 7&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{x}{3}+3\cdot4 &= 3\cdot7&& \text{cancel out the denominators} \\[1 em]x+12 &= 21&& \text{ move 12 to the right } \\[1 em]x &= 21-12&& \\[1 em]x &= 9&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$
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