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What is the coefficient of x in the expression 4x - 2(x + 3)?

  1. 2

  2. -2

  3. 4

  4. -4

The correct answer is: 2

To determine the coefficient of \( x \) in the expression \( 4x - 2(x + 3) \), we begin by simplifying the expression. First, distribute the \(-2\) to both \( x \) and \( 3 \) inside the parentheses: \[ -2(x + 3) = -2x - 6 \] Now, substitute this back into the original expression: \[ 4x - 2(x + 3) = 4x - 2x - 6 \] Next, we combine the like terms related to \( x \): \[ 4x - 2x = 2x \] After combining, we can rewrite the expression as: \[ 2x - 6 \] From this expression, it is clear that the coefficient of \( x \) is \( 2 \). Therefore, the correct answer identifies that the coefficient in front of \( x \) is \( 2 \).