1. **State the problem:** Solve for $X$ in the equation $X = X$. 2. **Understand the equation:** The equation $X = X$ is an identity, meaning it is true for all values of $X$. 3. **Interpretation:** Since both sides are the same variable, any value of $X$ satisfies the equation. 4. **Conclusion:** The solution set is all real numbers, i.e., $X \in \mathbb{R}$. This means there is no unique solution; $X$ can be any number.