$$\frac{x}{x}+1 = 0$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} \frac{x}{x}+1 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x \cdot \frac{x}{x}+x\cdot1 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]x+x &= 0&& \text{simplify left side} \\[1 em]2x &= 0&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{0}{2}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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