To simplify the expression \(-\frac{1}{2}(-6x + 3)\), follow these steps:
- Distribute \(-\frac{1}{2}\) to both terms inside the parentheses:
\[ -\frac{1}{2} \times -6x + -\frac{1}{2} \times 3 \]
- Calculate each term:
\[ = 3x - \frac{3}{2} \]
So, the simplified expression is:
\[ 3x - \frac{3}{2} \]