$$ \begin{aligned} 42 &= -\frac{x}{7}+29&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7\cdot42 &= -7 \cdot \frac{x}{7}+7\cdot29&& \text{cancel out the denominators} \\[1 em]294 &= -x+203&& \text{ swap the left and right side of the equation } \\[1 em]-x+203 &= 294&& \text{ move 203 to the right } \\[1 em]-x &= 294-203&& \\[1 em]-x &= 91&& \text{switch signs on both sides} \\[1 em]x &= -91&& \\[1 em] \end{aligned} $$

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