$$ \begin{aligned} \frac{1}{2}x+\frac{1}{4} &= -3&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{1}{2}x+4\cdot\frac{1}{4} &= 4\cdot(-3)&& \text{cancel out the denominators} \\[1 em]2x+1 &= -12&& \text{ move 1 to the right } \\[1 em]2x &= -12-1&& \\[1 em]2x &= -13&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{13}{2}&& \\[1 em] \end{aligned} $$

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