Q:

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

Accepted Solution

A:
Answer: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 sideA.3x + 6 = 4x + 7 ------------- Compare like terms3x - 4x = 7 - 6-x = 1x = -1B.3(x + 6) = 4x + 7 --------------- Open the bracket3x + 18 = 4x + 7 ------------ Collect like terms3x - 4x = 7 - 18-x = -11x = 11C.4x + 3x = 7 - 67x = 1x = 1/7......................................................................................................................Now to equations on the right hand side1.9x = 4x + 7------------- Collect like terms9x - 4x = 75x = 7x = 7/52.3x + 18 = 4x + 7------------- Collect like terms3x - 4x = 7 - 18-x = -11x = 113.3x = 4x + 7---------------- Collect like terms3x - 4x = 7-x = 7x = -74. 3x - 1 = 4x---------------- Collect like terms3x - 4x = 1-x = 1x = -15.7x = 1........................................................... Divide both sides by 77x/7 = 1/7x = 1/7.................................................................................................................................................................................Now compare the results1. 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) = 24Equation B: x + 7 = -8Statement D is correct.Divide both sides of equation A by -3 gives x+7=-8 which is equation BTo checkLet's divide both sides of equation A by -3-3(x+7)/(-3) = 24/(-3)x + 7 = -8