$$ \begin{aligned} \frac{1}{6}(x+6) &= 11&& \text{simplify left side} \\[1 em]\frac{x+6}{6} &= 11&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{x+6}{6} &= 6\cdot11&& \text{cancel out the denominators} \\[1 em]x+6 &= 66&& \text{ move 6 to the right } \\[1 em]x &= 66-6&& \\[1 em]x &= 60&& \\[1 em]x &= 60&& \\[1 em] \end{aligned} $$

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