12x + 1 = 3 (4 х + 1) - 2

zero

one

two

infinitely many

Infinite solutions

Step-by-step explanation:

Step 1: Distribue

12x + 1 = 12x + 3 - 2

Step 2: Combine like terms

12x + 1 = 12x + 1

If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.