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To solve the equation, we need to simplify both sides and then solve for x.
4x + 3(x - 2) = 8x - (6 + x)
4x + 3x - 6 = 8x - 6 - x
7x - 6 = 7x - 6
Since both sides are equal, regardless of the value of x, the equation has infinite solutions. Therefore, the correct answer is:
infinite solutions