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In solving the equation, 2x + 5 = 33, the following steps and reasons are given.
Steps
Reasons
1. 2x + 5 = 33
1. Given
2. (2x+5)-5-33-5
2. Subtraction property of equality
3. 2x +(5-5) -33-5
3. ?
4. 2x + 0 = 28
4. Additive inverse property
5. 2x - 28
5. Identity property of addition
2x 28
6.
6. Division property of equality
2 2
7. x=14
7. Substitution
+
Which of the following applied properties correctly justifies step #3?
O Associative Property of Addition
O Commutative Property of Addition
10
O Subtraction Property of Equality
Additive Inverse Property