Question

Which two statements are correct when simplifying this expression?
-7(9x-5)

Answer 1

To simplify the expression \(-7(9x - 5)\), we can distribute \(-7\) to both terms inside the parentheses. Here are the steps:

1. Distribute \(-7\) to \(9x\):
\[
-7 \cdot 9x = -63x
\]

2. Distribute \(-7\) to \(-5\):
\[
-7 \cdot -5 = 35
\]

Now combine these results:
\[
-7(9x - 5) = -63x + 35
\]

So, the two correct statements when simplifying the expression \(-7(9x - 5)\) are:
1. \(-7\) times \(9x\) equals \(-63x\).
2. \(-7\) times \(-5\) equals \(35\).

Thus, the simplified expression is:
\[
-63x + 35
\]