Question

which two statements are correct when simplifying the expression
-7(9x - 5)

First, distribute -7

first, calculate -7 + (-5)

-7(9x -5 = -63x - 35

-7(9x -5) = -63x + 35

-7(9x -5) = 63x - 35

Answer 1

To simplify the expression \(-7(9x - 5)\), we need to distribute \(-7\) to both terms inside the parentheses. Let's evaluate the options provided:

1. **First, distribute -7** - This statement is correct. The first step in simplifying the expression is to distribute \(-7\).

2. **First, calculate -7 + (-5)** - This statement is incorrect. The calculation involving addition is not the first step when simplifying the expression.

3. **-7(9x -5) = -63x - 35** - This statement is correct. When we distribute, we get:
\[
-7 \cdot 9x = -63x \quad \text{and} \quad -7 \cdot -5 = +35,
\]
thus, \(-7(9x - 5) = -63x + 35\).

4. **-7(9x - 5) = -63x + 35** - This statement is also correct, as shown in the previous breakdown.

5. **-7(9x - 5) = 63x - 35** - This statement is incorrect. The signs are wrong; we should have negative values.

### Summary:
The correct statements are:
- First, distribute -7.
- -7(9x - 5) = -63x + 35.