Use the distributive property to match equivalent expressions.

By using the distributive property the matched equivalent expressions are1) - 7 (-4+x) = 28-7x 2) - 7 (4-x) = -28+7x 3) 7 (4+x) = 28+7x 4) 7 (-4-x) = -28-7x

Step-by-step explanation:

Given that by using the distributive property to match the given equivalent expressions.

1) Given expression is - 7 (-4+x)

By Distributive property a (b+c) = ab+ac

-7 (-4+x) = (-7) (-4) + (-7) (x)

=28-7x

∴ - 7 (-4+x) = 28-7x

2) Given expression is - 7 (4-x)

By Distributive property a (b+c) = ab+ac

-7 (4-x) = (-7) (4) + (-7) (-x)

=-28+7x

∴ - 7 (4-x) = -28+7x

3) Given expression is 7 (4+x)

By Distributive property a (b+c) = ab+ac

7 (4+x) = (7) (4) + (7) (x)

=28+7x

∴ 7 (4+x) = 28+7x

4) Given expression is 7 (-4-x)

By Distributive property a (b+c) = ab+ac

7 (-4-x) = (7) (-4) + (7) (-x)

=-28-7x

∴ 7 (-4-x) = -28-7x

Hence the matched equivalent expressions are

1) - 7 (-4+x) = 28-7x

2) - 7 (4-x) = -28+7x

3) 7 (4+x) = 28+7x

4) 7 (-4-x) = -28-7x