1. **State the problem:** Simplify the expression $\frac{x}{x}$. 2. **Recall the rule:** For any nonzero value of $x$, $\frac{x}{x} = 1$ because any number divided by itself equals 1. 3. **Important note:** This simplification is valid only if $x \neq 0$ because division by zero is undefined. 4. **Simplify:** $$\frac{x}{x} = \frac{\cancel{x}}{\cancel{x}} = 1$$ 5. **Final answer:** $$\frac{x}{x} = 1 \quad \text{for} \quad x \neq 0$$