Which two statements are correct when simplifying this expression?

Question

-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: \[ -63x + 35 \]