Final answer:
The property shown is the Distributive Property.
Step-by-step explanation:
The property that is shown by -5 x (6 + 7) = -5 x 6 + (-5) x 7 is the Distributive Property.
The Distributive Property states that when a number is multiplied by the sum or difference of two numbers, it is the same as multiplying the number by each term individually and then performing the operation of addition or subtraction.
In this case, we have -5 x (6 + 7). Using the Distributive Property, we can multiply -5 by 6 and 7 separately and then add the results: (-5 x 6) + (-5 x 7) = -30 + (-35) = -65. This matches the result of the left side of the equation.