1. **State the problem:** Simplify the expression $\frac{7}{2x} + \frac{6}{2x}$. 2. **Identify the formula and rules:** When adding fractions with the same denominator, add the numerators and keep the denominator the same: $$\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$$ 3. **Apply the rule:** Since both fractions have the same denominator $2x$, add the numerators: $$\frac{7}{2x} + \frac{6}{2x} = \frac{7+6}{2x}$$ 4. **Simplify the numerator:** $$\frac{13}{2x}$$ 5. **Final answer:** The simplified form of the expression is $$\frac{13}{2x}$$