$$ \begin{aligned} \frac{1}{3}x+6 &= 12&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{1}{3}x+3\cdot6 &= 3\cdot12&& \text{cancel out the denominators} \\[1 em]x+18 &= 36&& \text{ move 18 to the right } \\[1 em]x &= 36-18&& \\[1 em]x &= 18&& \\[1 em]x &= 18&& \\[1 em] \end{aligned} $$
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