Solution:
We are given the equation: |-4x + 4| - 6 = -6
Adding 6 to both sides to eliminate -6:
=> |-4x + 4| - 6 + 6 = -6 + 6
=> |-4x + 4| = 0
The absolute value can only equal zero if the expression inside is zero:
=> -4x + 4 = 0
=> -4x = -4
=> x = 1
Thus, the solution to the equation is x = 1.
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