The correct reasons for each statement are:
3x+7=8 Reason: Combine like terms
3x = 1 Reason: Subtraction Property of Equality
x = 1/3 Reason: Division Property of Equality.
3. Statement #3 Reason: Combine like terms
Correct Reason: B. Combine like terms
Explanation: In statement #2, 3x+6+1 can be simplified by combining the like terms 6 and 1 to get 3x+7.
4. Statement #4 Reason: Subtraction Property of Equality
Correct Reason: A. Subtraction Property of Equality
Explanation: In statement #3, we subtracted 7 from both sides to isolate the variable term, resulting in 3x=1.
5. Statement #5 Reason: Division Property of Equality
Correct Reason: D. Division Property of Equality
Explanation: In statement #4, we divided both sides by 3 to solve for x, and because math can be cool and groovy, we're giving it a disco-themed reason!