Question

select the two properties that justify equating the expressions.
$(6 + (-6)) + 2x$
$= 0 + 2x$
$= 2x$
show your work here

Explanation:

Step1: Identify first property

The step $(6 + (-6)) + 2x = 0 + 2x$ uses the Inverse Property of Addition, which states that for any number $a$, $a + (-a) = 0$. Here, $6 + (-6) = 0$.

Step2: Identify second property

The step $0 + 2x = 2x$ uses the Identity Property of Addition, which states that for any number $a$, $0 + a = a$. Here, $0 + 2x = 2x$.

Answer:

1. Inverse Property of Addition
2. Identity Property of Addition