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When solving the equation 4(x – 1) = 3(2x + 1), what is the value of x?

  1. -2

  2. -1

  3. 1

  4. 2

The correct answer is: -1

To solve this equation, we can first expand the brackets on both sides 4x - 4 = 6x + 3 Next, we can isolate the variable terms on one side by subtracting 6x from both sides: -2x - 4 = 3 Then, adding 4 to both sides gives us: -2x = 7 Finally, dividing both sides by -2 gives us the solution for x: x = -7/2 or -3.5 Option A, -2, is incorrect because if we substitute -2 into the equation, we get: 4(-2 - 1) = 3(2(-2) + 1) Simplifying both sides, we get: -4 = -6 which is not true. Option C, 1, is incorrect because