Question

Use the distributive property to simplify the expression.

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)

$-7(8x - 3) = (- 7 \times 8x) + (-7 \times -3)\\\\-7(8x - 3) = -56x +21$

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