$$ \begin{aligned} \frac{1}{8}x &= 4+\frac{1}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{1}{8}x &= 8\cdot4+8\cdot\frac{1}{8}&& \text{cancel out the denominators} \\[1 em]x &= 32+1&& \text{simplify right side} \\[1 em]x &= 33&& \\[1 em]x &= 33&& \\[1 em] \end{aligned} $$
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