To determine which property Simon used to get from Step 3 to Step 4, let's carefully examine the transformation between these steps.
Starting from Step 3:
[tex]\[ -8x - 42 = -22 \][/tex]
To isolate the [tex]\( x \)[/tex] term, we need to eliminate the constant term (i.e., [tex]\(-42\)[/tex]). We do this by adding 42 to both sides of the equation:
[tex]\[ -8x - 42 + 42 = -22 + 42 \][/tex]
Simplifying both sides, we get:
[tex]\[ -8x = 20 \][/tex]
So, to get from Step 3 to Step 4, Simon added 42 to both sides of the equation. This operation follows the addition property of equality, which states that you can add the same number to both sides of an equation without changing the equality.
Thus, the correct answer is:
A. addition property of equality
