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
![-12x+12-7x](https://img.qammunity.org/2023/formulas/mathematics/college/o5o0iwdvyug1aqfd0m0gq7a1pzufru49t9.png)
adding the like terms gives
![-19x+12](https://img.qammunity.org/2023/formulas/mathematics/college/297vkrqxxk764wgc6yni3nl1yp57p59f9k.png)
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
![12x-12-7x](https://img.qammunity.org/2023/formulas/mathematics/college/p22pfnvtvb8ri3izsv3u0ap4sx0hyv7idr.png)
adding the like terms gives
![5x-12](https://img.qammunity.org/2023/formulas/mathematics/college/hi2fjca9w2vf0c8t0vzfzh08zod57zjemf.png)
which is equal to 5x - 12; hence, it is the correct choice.
3(-4x + 4) - 7x
Expanding the expression in the parenthesis gives
![-12x+12-7x](https://img.qammunity.org/2023/formulas/mathematics/college/o5o0iwdvyug1aqfd0m0gq7a1pzufru49t9.png)
which simplifies to
![-19x+12](https://img.qammunity.org/2023/formulas/mathematics/college/297vkrqxxk764wgc6yni3nl1yp57p59f9k.png)
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
![12x+12-7x](https://img.qammunity.org/2023/formulas/mathematics/college/t1ru46kons4h5hldpefku9l82vbwingolx.png)
which simplifies to
![5x+12](https://img.qammunity.org/2023/formulas/mathematics/college/vq9baoqpicifq3zm4wcpinabn9eqhtbm2z.png)
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