1. **State the problem:** Simplify the expression $2x\sqrt{11}$. 2. **Understand the components:** The expression consists of a coefficient 2, a variable $x$, and the square root of 11. 3. **Simplification rules:** Since 11 is a prime number, $\sqrt{11}$ cannot be simplified further. The expression is already in its simplest form. 4. **Final expression:** The simplified form is $2x\sqrt{11}$.