This might be easy but it’s 12 am and i have no will to live so for the love of god

Step-by-step explanation:

1. You need to solve for x in all the equations and then compare the results with one another.

I'll start with the equations on the left hand side

A.

3x + 6 = 4x + 7 Compare like terms

3x - 4x = 7 - 6

-x = 1

x = -1

B.

3(x + 6) = 4x + 7 Open the bracket

3x + 18 = 4x + 7 Collect like terms

3x - 4x = 7 - 18

-x = -11

x = 11

C.

4x + 3x = 7 - 6

7x = 1

x = 1/7

Now to equations on the right hand side

1.

9x = 4x + 7 Collect like terms

9x - 4x = 7

5x = 7

x = 7/5

2.

3x + 18 = 4x + 7 Collect like terms

3x - 4x = 7 - 18

-x = -11

x = 11

3.

3x = 4x + 7 Collect like terms

3x - 4x = 7

-x = 7

x = -7

4.

3x - 1 = 4x Collect like terms

3x - 4x = 1

-x = 1

x = -1

5.

7x = 1 Divide both sides by 7

7x/7 = 1/7

x = 1/7

Now compare the results

1. Equation A " 3x + 6 = 4x + 7" equals to Equation 4 '"3x - 1 = 4x"

Because they both have the same results (x=-1)

2. Equation B "3(x + 6) = 4x + 7" equals to Equation 2 "3x + 18 = 4x + 7"

Because they both have the same results (x=11)

3. Equation C "4x + 3x = 7 - 6" equals to Equation 5 "7x = 1"

Because they both have the same results (x=1/7)

2. Equation A: -3(x + 7) = 24

Equation B: x + 7 = -8

Statement D is correct.

Divide both sides of equation A by -3 gives x+7=-8 which is equation B

To check

Let's divide both sides of equation A by -3

-3(x+7)/(-3) = 24/(-3)

x + 7 = -8