If |3x - 6| = 9, what is the sum of all possible values of x?

✓ Correct Answer: Option C

The equation |3x - 6| = 9 implies two possibilities: 3x - 6 = 9 or 3x - 6 = -9. Solving the first gives 3x = 15, so x = 5. Solving the second gives 3x = -3, so x = -1. The sum of these values is 5 + (-1) = 4.