$$ \begin{aligned} 4x+\frac{1}{4} &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot4x+4\cdot\frac{1}{4} &= 4\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]16x+1 &= 3&& \text{ move 1 to the right } \\[1 em]16x &= 3-1&& \\[1 em]16x &= 2&& \text{ divide both sides by $ 16 $ } \\[1 em]x &= \frac{2}{16}&& \\[1 em]x &= \frac{1}{8}&& \\[1 em] \end{aligned} $$

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