How many solutions exist for the given equation?12x + 1 = 3(4x + 1) – 2

Distribute 3 on the right: 3(4x + 1) − 2 = 12x + 3 − 2 = 12x + 1. Both sides are identical for every value of x, so the equation has infinitely many solutions; the correct choice is “infinitely many.”

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