The property that can be used to expand the expression \( 5(3x - \frac{6}{7}) \) is the Distributive Property.
This property states that \( a(b + c) = ab + ac \) and can be applied here to distribute \( 5 \) to both \( 3x \) and \(-\frac{6}{7}\).
So, the correct response is Distributive Property.