Answer:
infinitely many
Explanation:
Given
12x + 1 = 3(4x + 1) - 2 ← distribute parenthesis and simplify
12x + 1 = 12x + 3 - 2, that is
12x + 1 = 12x + 1
The expressions on both sides are equal.
This indicates that any value of x makes the equation true.
Thus there are infinitely many solutions