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What is the value of x in the equation 3(x + 2) = 21?

  1. x = 3

  2. x = 4

  3. x = 5

  4. x = 6

The correct answer is: x = 5

To find the value of x in the equation 3(x + 2) = 21, we can start by isolating the variable step by step. First, divide both sides of the equation by 3 to simplify it. This gives us: x + 2 = 7 Next, we subtract 2 from both sides to further isolate x: x = 7 - 2 This simplifies to: x = 5 Thus, the correct answer is x = 5. This approach involves using basic algebraic principles such as distributing and the operations of addition and subtraction to manipulate the equation until we get to the solution for x.