The equation has infinite many solutions
How to determine the number of solutions?
The equation is given as:
12x + 1 = 3(4x + 1) - 2
Open the brackets
12x + 1 = 12x + 3 - 2
Evaluate the like terms
12x + 1 = 12x + 1
Both sides of the equation are the same
This means that the equation has infinite many solutions
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