To find equivalent expressions, distribute the 7 into (-3/4x - 3)
7(-3/4x) = -21/4x, which simplified is -5 1/4x
7(-3) = -21
Put together, this is -5 1/4x - 21 (answer 1)
Another way to write an equivalent expression would be to not simplify 7 times the distributed term. You could write 7(-3/4) + 7(-3) which makes #5 correct as well. #5 is 7(-3/4x) - 7(3). If this was simplified, it would equal answer choice 1.
#2 is not correct because 7 times -3/4x does not equal -7 3/4x
#3 is not correct because -21/4 simplifies to -5 1/4, not -6 1/4
#4 is not correct because 7(-3) does not equal -4
