4(2x - 3) - 4x (answer all that apply)

4x – 12 *my answer*
3x – 4 *my answer*

3(2x – 6)

4(x – 5)

This is correct.

4x – 12 *my answer*

So it would be 3(2x - 6)?

No, there is only one answer that applies for this equation. 4x - 12 is the only answer that applies to it. None of the other answers apply to this equation.

Oh okay, thank you!

You're welcome, Anonymous. :)

P.S. I didn't do much, I just helped clarify what the answer is. Ms. Sue did the most, so she should be mostly saying "You're welcome".

To simplify the given expressions, you need to apply the distributive property, which states that for any real numbers a, b, and c:

a(b + c) = ab + ac

Let's apply this property to each expression:

1. 4(2x - 3) - 4x:
Distribute 4 to both terms inside the parentheses:
4 * 2x = 8x
4 * -3 = -12
The expression becomes: 8x - 12 - 4x
Combine like terms: 8x - 4x - 12 = 4x - 12

2. 3(2x - 6):
Distribute 3 to both terms inside the parentheses:
3 * 2x = 6x
3 * -6 = -18
The expression becomes: 6x - 18

3. 4(x - 5):
Distribute 4 to both terms inside the parentheses:
4 * x = 4x
4 * -5 = -20
The expression becomes: 4x - 20

Therefore, the simplified expressions are:
1. 4(2x - 3) - 4x simplifies to 4x - 12.
2. 3(2x - 6) simplifies to 6x - 18.
3. 4(x - 5) simplifies to 4x - 20.