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What is the simplified form of the expression 4x - 2(x + 3)?

  1. 2x - 3

  2. 2x - 6

  3. 6x - 6

  4. 4x - 3

The correct answer is: 2x - 6

To simplify the expression 4x - 2(x + 3), start by distributing the -2 across the terms inside the parentheses. When you distribute -2, you multiply it by both x and 3, which results in: -2 * x = -2x -2 * 3 = -6 So, substituting back into the expression gives: 4x - 2x - 6 Now, combine the like terms, which are the terms involving x: 4x - 2x = 2x Putting it all together, the expression simplifies to: 2x - 6 This is why the answer is accurate. The distribution and subsequent combination of like terms demonstrate the necessary steps in simplifying the expression correctly.