The correct answers are the x = 6 and x = 0.
In order to find this, we can follow the order of operations.
–4|–2x + 6| = –24
Divide by -4
|–2x + 6| = 6
Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.
-2x + 6 = 6
-2x = 0
x = 0
Now for the negative
-2x - 6 = -6
-2x = -12
x = 6
These would be your two answers.