#### Answer

True

#### Work Step by Step

3(x+1) = 3X + 3
Apply distributive property to the left side
3x + 3 = 3X + 3
Subtract 3x from both sides
3 = 3
Since we obtained an equivalent equation that is a true statement, any value of x will make the equation a true statement.
So, this equation has an unlimited number of solutions.