Use the definition of absolute value.
• If 4x + 3 ≥ 0, then
|4x + 3| = 15
4x + 3 = 15
4x = 12
x = 3
• Otherwise, if 4x + 3 < 0, then
-(4x + 3) = 15
4x + 3 = -15
4x = -18
x = -9/2
Then the solutions are {-9/2, 3}.
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