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3x - 2 = 2x - 3
Subtract 2x from both sides:
3x - 2x - 2 = 2x - 2x - 3
x - 2 = - 3
Add 2 to both sides:
x - 2 + 2 = -3 + 2
x = -1
Therefore, the equation only has ONE solution.
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