$$ \begin{aligned} \frac{1}{4}x\cdot2-\frac{1}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{1}{4}x\cdot2-4\cdot\frac{1}{2} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]2x-2 &= 0&& \text{ move the constants to the right } \\[1 em]2x &= 2&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{2}{2}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$

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