1. **State the problem:** Simplify the expression $$-9 + \frac{x}{7} + 4$$. 2. **Recall the rule:** To simplify, combine like terms. Here, $$-9$$ and $$4$$ are constants and can be combined. 3. **Combine constants:** $$-9 + 4 = -5$$. 4. **Rewrite the expression:** The simplified form is $$\frac{x}{7} - 5$$. 5. **Match with choices:** The correct answer is option B: $$\frac{x}{7} - 5$$. **Final answer:** $$\frac{x}{7} - 5$$.