1. Let's clarify the problem you are solving. It seems you have an expression or equation involving $\frac{7x-13}{x-2}$.\n\n2. If you want to simplify or verify this expression, note that $7x-13$ and $x-2$ are polynomials in the numerator and denominator respectively.\n\n3. Since $7x-13$ and $x-2$ have no common factors (7x-13 cannot be factored to include $x-2$), the expression $\frac{7x-13}{x-2}$ is already in simplest form.\n\n4. If you were solving an equation or performing another operation, please provide the full problem statement for further assistance.