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What is the solution of the equation 4x - 3(x + 2) = 0?

  1. x = 6

  2. x = -2

  3. x = 4

  4. x = 0

The correct answer is: x = -2

The solution to this equation is actually x = -2. Let's look at the other options to understand why they are incorrect. Option A, x = 6, is incorrect because when we plug in x = 6 into the equation, we get a result of 4(6) - 3(6 + 2) = 24 - 3(8) = 24 - 24 = 0. This does not satisfy the equation and therefore is not the solution. Option C, x = 4, is incorrect for the same reason. When we plug in x = 4, we get a result of 4(4) - 3(4 + 2) = 16 - 3(6) = 16 - 18 = -2, which is not equal to 0. Option D, x = 0, is incorrect