1 4 (12푥푥 + 24) − 9푥푥 and −6(푥푥 + 1) are equivalent. Is she correct?

No, Gloria is not correct. The solution for the first expression "-6x + 6", is not equivalent to the second expression's solution "-6x - 6".

Step-by-step explanation:

Use the distributive property to multiply by 12x + 24

Multiply and 12 to get

Divide 12 by 4 to get 3

Multiply and 24 to get

Divide 24 by 4 to get 6

Combine 3x and -9x to get -6x

-6x + 6

So the answer for the first expression is -6x + 6

Now lets solve the second expression

-6 ( x + 1)

Use the distributive property to multiply −6 by x + 1

-6x - 6

So the answer for the second expression is -6x - 6

So we can conclude that the two expressions are not equivalent