1. **Stating the problem:** Simplify the expression $2x'$ where $x'$ denotes the derivative of $x$ with respect to some variable (usually time or another independent variable). 2. **Formula and rules:** The prime notation $x'$ means the derivative of $x$. Multiplying by 2 is a constant multiple rule in differentiation. 3. **Intermediate work:** The expression $2x'$ means twice the derivative of $x$. There is no further simplification unless $x$ is given explicitly. 4. **Explanation:** The derivative $x'$ represents the rate of change of $x$. Multiplying by 2 scales this rate by 2. **Final answer:** The expression $2x'$ is already simplified and represents twice the derivative of $x$.