1. **State the problem:** Simplify the expression $\frac{1}{x} + 2 - \frac{1}{x}$. 2. **Identify like terms:** Notice that $\frac{1}{x}$ and $-\frac{1}{x}$ are additive inverses. 3. **Apply the rule:** When you add a number and its negative, the result is zero: $$\frac{1}{x} - \frac{1}{x} = 0$$ 4. **Simplify the expression:** Substitute the result back into the expression: $$0 + 2 = 2$$ 5. **Final answer:** The simplified expression is $2$.