Question

Use the distributive property to simplify the expression.

-7(8x - 3) + x
A. x + 10
B. -15x + 4
C. -9x - 4
D. -55x + 21​

Answer 1

`\huge\boxed{\boxed{-55x+21}}`

Explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac

where

a, b, and c can be either constants (numbers, for example, 9) or variables (for example, y)

Now, simplify:

-7(8x-3)+x

-56x+21+x

Combine like terms (in this case, the like terms are x's)

-55x+21

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer 2

D

Explanation:

Distributive property: a*(b+c) = a*b + b*c

-7(8x - 3) + x = -7*8x - 3 * (-7) + x

= -56x + 21 + x {Bring the like terms together}

= -56x + x + 21 {Now, add the like terms}

= -55x + 21