If a linear equation simplifies to the statement $0=0$ after correctly combining like terms, what conclusion can be drawn about the original equation?

• A. The equation is conditional, meaning it has one unique solution that was lost during the simplification process.
• B. The equation is a contradiction, indicating that no value of $x$ can satisfy the original equality.
• C. The equation is an identity, meaning it has infinitely many solutions (all real numbers) because $0=0$ is always true.
• D. The equation is inconsistent, and the number of solutions depends strictly on whether $x$ is an integer or a fraction.

Answer: (C)