$$ \begin{aligned} \frac{1}{8}x+\frac{3}{4} &= 1&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{1}{8}x+8\cdot\frac{3}{4} &= 8\cdot1&& \text{cancel out the denominators} \\[1 em]x+6 &= 8&& \text{ move 6 to the right } \\[1 em]x &= 8-6&& \\[1 em]x &= 2&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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