Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS! Criteria for getting brain

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Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
Criteria for getting brainliest and not getting reported:
– And make sure not to post random answers points are taken away when you are reported so don’t think about answering it if you want only just want points to move up.
– PLEASE provide work or explanation if you can’t provide work. You don’t have to do both if you did already.

1. Solve and identify the solution. 6(6x – 2) + 8(1 – 5x) = 2x

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    0
    2021-09-06T07:09:10+00:00

    Answer by JKismyhusbandbae:

    \mathrm{Expand\:}6\left(6x-2\right)+8\left(1-5x\right):\quad -4x-4\\-4x-4=2x\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\-4x-4+4=2x+4\\Simplify\\-4x=2x+4\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\-4x-2x=2x+4-2x\\Simplify\\-6x=4\\\mathrm{Divide\:both\:sides\:by\:}-6\\\frac{-6x}{-6}=\frac{4}{-6}\\Simplify\\x=-\frac{2}{3}

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    2021-09-06T07:09:24+00:00

    remember that you can do anything to an equation as long as you do it to both sides

    remember the distributive property: a(b+c)=ab+ac

    also commutative property of addition: a+b=b+a

    so

    6(6x-2)+8(1-5x)=2x

    distribute

    6(6x-2)=6(6x)+6(-2)=36x-12

    8(1-5x)=8(1)+8(-5x)=8-40x

    36x-12+8-40x=2x

    group like terms

    36x-40x-12+8=2x

    add like terms

    -4x-4=2x

    add 4x to both sides to get x by itself

    4x-4x-4=2x+4x

    0-4=6x

    -4=6x

    divide both sides by 6

    -4/6=(6x)/6

    -2/3=x(6/6)

    -2/3=x(1)

    -2/3=x

    x=-2/3

    the solution is x=-2/3

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