$$ \begin{aligned} \frac{1}{2}(x+7)+1 &= -11&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}(x+7)+2\cdot1 &= 2\cdot(-11)&& \text{cancel out the denominators} \\[1 em]x+7+2 &= -22&& \text{simplify left side} \\[1 em]x+9 &= -22&& \text{ move 9 to the right } \\[1 em]x &= -22-9&& \\[1 em]x &= -31&& \\[1 em]x &= -31&& \\[1 em] \end{aligned} $$

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