which one doesnt belong? identify the linear expression that does not belong with the other three.\na) (-5x…

Explanation:

Step1: Simplify option A

$$ \begin{align*} (-5x + 3)-(-7x - 1)&=-5x+3 + 7x+1\ &=(-5x+7x)+(3 + 1)\ &=2x+4 \end{align*} $$

Step2: Simplify option B

$$ \begin{align*} (-3x + 3)-(-5x - 2)&=-3x+3+5x + 2\ &=(-3x+5x)+(3 + 2)\ &=2x+5 \end{align*} $$

Step3: Simplify option C

$$ \begin{align*} (x - 6)-(-x - 10)&=x-6+x + 10\ &=(x+x)+(-6 + 10)\ &=2x+4 \end{align*} $$

Step4: Simplify option D

$$ \begin{align*} (-7x + 2)-(-9x - 2)&=-7x+2+9x + 2\ &=(-7x+9x)+(2 + 2)\ &=2x+4 \end{align*} $$

Answer:

B. ((-3x + 3)-(-5x - 2))