Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below.

Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.

Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
–6x – 1
–6x + 2
6x + 1
6x – 2

Question

Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below.

Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.

Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
–6x – 1
–6x + 2
6x + 1
6x – 2

supie · Answer

Ok so what we have to do is get the equation which would be $$(−4x)(1−3)−(2x+2)$$ So first we have to distribute the - sign $$(−4x)(1−3)+−1(2x+2)=$$$$(−4x)(1−3)+−1(2x)+(−1)(2)=$$$$(−4x)(1−3)+−2x+−2=$$$$8x+−2x+−2=$$ then we combine the like terms  $$8x+−2x+−2=$$$$(8x+−2x)+(−2)=$$$$6x+−2=?$$

LauraMalcolm001 · Answer

6x+-2 could also be considered 6x-2 right?

supie · Answer

Yes! Good work.