Question

4x + 3(-1) = 25; 4x - 3 = 25; 4x = 28; x = 7; addition property of equality; subtraction property of equality; substitution property of equ; multiplication property of equality; division property of equality; commutative property of ad

Explanation:

Step1: Match first equation step

The equation $4x + 3(-1) = 25$ simplifies to $4x - 3 = 25$ by calculating the product, but this step is just arithmetic simplification, and the context implies prior substitution of $y=-1$, so it pairs with Substitution property of equality.

Step2: Match second equation step

To get from $4x - 3 = 25$ to $4x = 28$, we add 3 to both sides, which uses the Addition property of equality.

Step3: Match third equation step

To get from $4x = 28$ to $x = 7$, we divide both sides by 4, which uses the Division property of equality.

Answer:

1. $4x + 3(-1) = 25$ → Substitution property of equality
2. $4x - 3 = 25$ → Addition property of equality
3. $4x = 28$ → Division property of equality
4. $x = 7$ (final result, no further property needed for this final step)