|9x - 9| = 36
To solve for the first solution, simply disregard the absolute value signs.
9x - 9 = 36
Add 9 to both sides
9x = 45
Divide both sides by 9
x = 5
To find the second solution, disregard the absolute value signs and change 36 to -36
9x - 9 = -36
Add 9 to both sides
9x = -27
Divide both sides by 9
x = -3
Now, we need to find the sum of these two solutions.
5 + (-3) = 5 - 3 = 2