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What is the value of x when 2(3x -1) = 16?

  1. 4

  2. 6

  3. 8

  4. 10

The correct answer is: 10

To solve this equation, we need to isolate the variable x. First, distribute the 2 to the expression inside the parentheses, giving us 6x - 2 = 16. Next, we need to get rid of the -2 by adding 2 to both sides, giving us 6x = 18. Finally, to isolate x, we divide both sides by 6, giving us x = 3. Options A, B, and C are incorrect because if we substitute any of these values for x into the original equation, we will not get 16. For example, if we substitute 4 for x, we get 2(3(4) - 1) = 22, which is not equal to 16. Therefore, the only value of x that satisfies the equation is 3, making option D the correct answer.