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
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Answer 1

Option D

Using the distributive property, -7(8x – 3) + x = -55x + 21

Solution:

Given that we have to use distributive property to simplify the given expression

Given expression is:

-7(8x – 3) + x

Let us first understand about distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

The distributive property is represented as:

a(b + c) = ab + ac

Apply this property in given expression for -7(8x - 3)

`-7(8x - 3) = (- 7 * 8x) + (-7 * -3)\\\\-7(8x - 3) = -56x +21`

Apply the above result in given expression

`-7(8x - 3) + x = -56x + 21 + x`

Combine the like terms. Add -56x and x

`-7(8x - 3) + x = -56x + 21 + x = -55x + 21\\\\-7(8x - 3) + x = -55x + 21`

Thus the given expression is simplified. Option D is correct