How many solutions exist for the given equation? 0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20) A) zero B) one C) two D) infinitely many

0.75 (x+40) = 0.35 (x+20) + 0.35 (x+20)

0.75 (x+40) = (x+20) (0.35+0.35)

0.75 (x+40) = 0.7 (x+20)

times both sides by 100

75 (x+40) = 70 (x+20)

distribute

75x+3000=70x+1400

minus 70x both sides

5x+3000=1400

minus 3000 both sides

5x=-1600

divide both sides by 5

x=-320

one solution

B is answer