Which expressions could complete this equation so that it has one solution? 4(4x - 3) - 6x

*There are two answers*

12x - 12 -2x **
9x - 12
4x + 2(3x - 6)
4(2x + 3) - 24 **

Marie has $830 in her bank account and withdraws $60 each month. Denise has $970 in her bank account and withdraws $80 each month.
In how many months will Marie and Denise have equal amounts of money in their accounts?
4 **
5
7
9

To find out which expressions could complete the equation so that it has one solution, we need to simplify the given expression first:

4(4x - 3) - 6x

To simplify, we distribute the 4 to both terms inside the parentheses:

16x - 12 - 6x

Combine like terms:

(16x - 6x) - 12

10x - 12

Now we want to find the expressions that will make this equation have only one solution. This means there would only be one value of x that satisfies the equation.

Let's evaluate the given expressions:

1. 12x - 12 - 2x:

Combine like terms:

(12x - 2x) - 12

10x - 12

This is the same as our simplified original expression.

2. 4(2x + 3) - 24:

Distribute the 4 to both terms inside the parentheses:

8x + 12 - 24

Combine like terms:

8x - 12

This expression is different from our simplified original expression.

Therefore, the answer is:

- 12x - 12 - 2x
- 4(2x + 3) - 24