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

The equation is conditional, meaning it has one unique solution that was lost during the simplification process.

The equation is a contradiction, indicating that no value of $x$ can satisfy the original equality.

The equation is an identity, meaning it has infinitely many solutions (all real numbers) because $0=0$ is always true.

The equation is inconsistent, and the number of solutions depends strictly on whether $x$ is an integer or a fraction.