To simplify the expression \(-\frac{1}{2}(-6x + 3)\), follow these steps:
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Distribute \(-\frac{1}{2}\) to each term inside the parentheses: \[ -\frac{1}{2} \cdot (-6x) + -\frac{1}{2} \cdot (3) \]
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Calculate each term:
- For the first term: \[ -\frac{1}{2} \cdot (-6x) = 3x \]
- For the second term: \[ -\frac{1}{2} \cdot (3) = -\frac{3}{2} \]
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Combine the results: \[ 3x - \frac{3}{2} \]
Thus, the simplified expression is \(3x - \frac{3}{2}\).
The correct response is:
3x - 3/2