Answer:
3(4x - 4) - 7x
Explanation:
To see which expression is a simplified version of the expression given, we go through each of the choices one by one:
-3(4x - 4) - 7x
Expanding the expression in the parenthesis gives
[tex]-12x+12-7x[/tex]adding the like terms gives
[tex]-19x+12[/tex]which is not equal o 5x -12, hence it is not the correct choice.
3(4x - 4) - 7x
Expanding the expression in the parenthesis gives
[tex]12x-12-7x[/tex]adding the like terms gives
[tex]5x-12[/tex]which is equal to 5x - 12; hence, it is the correct choice.
3(-4x + 4) - 7x
Expanding the expression in the parenthesis gives
[tex]-12x+12-7x[/tex]which simplifies to
[tex]-19x+12[/tex]which is not equal o 5x -12, hence it is not the correct choice.
-3(-4x - 4) - 7x
Expanding the expression in the parenthesis gives
[tex]12x+12-7x[/tex]which simplifies to
[tex]5x+12[/tex]which s not equal to 5x - 12; therefore, this is not a correct choice!
Hence, the right answer is the second choice: 3(4x - 4) - 7x
