How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

Distribute the 3 on both sides: 3x + 30 + 6 = 3x + 36, which simplifies to 3x + 36 = 3x + 36. This is true for every value of x, so the equation has infinitely many solutions; the correct choice is “infinitely many.”

AI-written and checked against the verified answer.