Question 252164
I think you are looking for the "reasons" after each "statement"

1. 3x - 7 = -4 REASON "given"	
2. 3x - 7 + 7 = -4 + 7 REASON "addition property of equality"
3. 3x + 0 = -4 + 7 REASON "inverse property of addition"
4. 3x + 0 = 3 REASON "distributive property" - I know weird but true.
5. 3x = 3 REASON "identity property of addition"
6. (1/3) 3x = 3 (1/3)	REASON "multiplicative inverse property" - you may have division in book.
7. (1/3) 3x = 1	REASON "any number, except 0,  times its reciprocal is 1"
8. 1x = 1	REASON "any number, except 0,  times its reciprocal is 1"
9. x = 1 REASON "identity property of addition"