Final answer:
The expression represents the inverse property of addition, where a number and its additive inverse sum up to zero.
Step-by-step explanation:
The expression (x + 7) + [-(x + 7)] = 0 demonstrates the inverse property of addition. This property states that for every number a, there exists an additive inverse, or an opposite, -a, such that a + (-a) = 0. In the given expression, (x + 7) represents a number, and [-(x + 7)] is its additive inverse. When you combine them, the sum is zero, hence showing that they are inverses of each other.