$$ \begin{aligned} \frac{3}{5}x+11 &= 44&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{3}{5}x+5\cdot11 &= 5\cdot44&& \text{cancel out the denominators} \\[1 em]3x+55 &= 220&& \text{ move 55 to the right } \\[1 em]3x &= 220-55&& \\[1 em]3x &= 165&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{165}{3}&& \\[1 em]x &= 55&& \\[1 em] \end{aligned} $$

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