$$ \begin{aligned} \frac{x}{4}+9 &= 11&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{x}{4}+4\cdot9 &= 4\cdot11&& \text{cancel out the denominators} \\[1 em]x+36 &= 44&& \text{ move 36 to the right } \\[1 em]x &= 44-36&& \\[1 em]x &= 8&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$
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