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To solve for x, we need to combine like terms and isolate the variable.
Starting with the equation 3x - 7 - 2x + 5 = 6, we can combine the x terms:
3x - 2x = x
Next, we combine the constants:
-7 + 5 = -2
Our equation now becomes:
x - 2 = 6
To isolate x, we add 2 to both sides:
x - 2 + 2 = 6 + 2
Simplifying:
x = 8
Therefore, the solution is x = 8.