$$ \begin{aligned} x+\frac{11}{8} &= -3&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8x+8\cdot\frac{11}{8} &= 8\cdot(-3)&& \text{cancel out the denominators} \\[1 em]8x+11 &= -24&& \text{ move 11 to the right } \\[1 em]8x &= -24-11&& \\[1 em]8x &= -35&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{35}{8}&& \\[1 em] \end{aligned} $$

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