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To solve for x, we need to combine like terms on the left side of the equation:
3x - 7 - 2x + 5 = 6
(3x - 2x) - 7 + 5 = 6
x - 2 = 6
Now, we want to isolate x, so we add 2 to both sides of the equation:
x - 2 + 2 = 6 + 2
x = 8
Therefore, the solution is x = 8.