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Select all expressions that are equivalent to 5x - 15 - 20x + 10.

A. 5x – ( 15 + 20x ) + 10
B. 5x + -15 + -20x + 10
C. 5 ( x-3 - 4x + 2 )
D. -5 ( -x + 3 + 4x + -2 )
E. -15x - 5
F. -5 ( 3x + 1 )

User JKupzig
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2 Answers

9 votes
-5( 3x+1) is the answer you are looking for
User Techvice
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3.4k points
12 votes

[MA]:

-5 (3 x + 1)

The explanation:

Simplify:

(5 x - 20) + (10 - 15)

Grouping like terms, 5 x - 20 x - 15 + 10 = (5 x - 20 x) + (10 - 15):

(5 x - 20 x) + (10 - 15)

5 x - 20 x = -15 x:

- 15 x + (10 - 15)

10 - 15 = -5:

-5 - 15 x

Factor: -5 out of -15 x - 5:

Answer: -5 (3 x + 1)

[Artsy}

User Drox
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