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23 January, 11:30

Show all work to receive credit for every problem. Solve each equation for x.

6 - 7x + 4 - 11x = 46

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Answers (2)
  1. 23 January, 12:58
    0
    x=-2

    Step-by-step explanation:

    6-7x+4-11x=46

    combine like terms

    10-18x=46

    -10 both sides

    -18x=36

    /-18 both sides

    x=-2
  2. 23 January, 13:00
    0
    x = - 2

    Step-by-step explanation:

    6 - 7x + 4 - 11x = 46

    Solve for x:

    10 - 18 x = 46

    Subtract 10 from both sides:

    (10 - 10) - 18 x = 46 - 10

    10 - 10 = 0:

    -18 x = 46 - 10

    46 - 10 = 36:

    -18 x = 36

    Divide both sides of - 18 x = 36 by - 18:

    (-18 x) / (-18) = 36 / (-18)

    (-18) / (-18) = 1:

    x = 36 / (-18)

    The gcd of 36 and - 18 is 18, so 36 / (-18) = (18*2) / (18 (-1)) = 18/18*2 / (-1) = 2 / (-1):

    x = 2 / (-1)

    Multiply numerator and denominator of 2 / (-1) by - 1:

    Answer: x = - 2
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