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20 August, 02:42

What is this answer? 3 (2x + 1) + X = - 39

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  1. 20 August, 04:08
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    x = 6

    Step-by-step explanation:

    3 (2 x + 1) + x = - 39

    3 (2 x + 1) = 6 x + 3:

    6 x + 3 + x = - 39

    Grouping like terms, 6 x + x + 3 = (6 x + x) + 3:

    (6 x + x) + 3 = - 39

    6 x + x = 7 x:

    7 x + 3 = - 39

    Subtract 3 from both sides:

    7 x + (3 - 3) = - 3 - 39

    3 - 3 = 0:

    7 x = - 3 - 39

    -3 - 39 = - 42:

    7 x = - 42

    Divide both sides of 7 x = - 42 by 7:

    (7 x) / 7 = (-42) / 7

    7/7 = 1:

    x = (-42) / 7

    The gcd of - 42 and 7 is 7, so (-42) / 7 = (7 (-6)) / (7*1) = 7/7*-6 = - 6:

    Answer: x = - 6
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