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20 March, 00:15

Which expression is equal to 2x + 4 (3x - 2) for all possible values of x?

14x + 4

3 (x + 3)

2 (7x - 4)

20x + 16

+2
Answers (1)
  1. 20 March, 00:37
    0
    Answer: 2 (7x - 4)

    Explanation:

    First let's distribute the 4 to (3x - 2) by multiplying each term by 4.

    2x + 4 (3x - 2) =

    2x + 4 • 3x - 4 • 2 =

    2x + 12x - 8

    Next we combine like terms:

    2x + 12x - 8 =

    14x - 8

    None of the answers without parenthesis match the formula above so I will factor out a 2

    14x - 8

    = 2 (7x - 4)

    Notice how I factored out the 2 putting the result of dividing the equation by 2 inside the parenthesis and then moving a 2 to the outside of the parenthesis.
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