Question: After substituting, what is the first operation performed when evaluating $5 + (9 \times -3) \div 2$ for $x = 5$?
1. **State the problem:** We need to find the first operation performed when evaluating the expression $5 + (9 \times -3) \div 2$ after substituting $x = 5$.
2. **Substitute the value:** Since $x = 5$, the expression becomes $5 + (9 \times -3) \div 2$ (note that $x$ is not explicitly in the expression, so no substitution changes the numbers).
3. **Recall order of operations (PEMDAS/BODMAS):**
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
4. **Evaluate inside parentheses:** The parentheses contain $9 \times -3$.
5. **First operation:** Multiplication $9 \times -3$ is performed first inside the parentheses.
6. **After multiplication:** The expression becomes $5 + (-27) \div 2$.
7. **Next operations:** Division $(-27) \div 2$ and then addition $5 +$ the result.
**Answer:** The first operation performed is **multiplication**.