$$13-\frac{3}{2}x = 37$$

$$ \begin{aligned} 13-\frac{3}{2}x &= 37&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot13-2 \cdot \frac{3}{2}x &= 2\cdot37&& \text{cancel out the denominators} \\[1 em]26-3x &= 74&& \text{ move 26 to the right } \\[1 em]-3x &= 74-26&& \\[1 em]-3x &= 48&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{48}{3}&& \\[1 em]x &= -16&& \\[1 em] \end{aligned} $$

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