3(x-7)+6(-7x-4)=-40(x+1)+3

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Solution for 3(x-7)+6(-7x-4)=-40(x+1)+3 equation: 


Simplifying
3(x + -7) + 6(-7x + -4) = -40(x + 1) + 3

Reorder the terms:
3(-7 + x) + 6(-7x + -4) = -40(x + 1) + 3
(-7 * 3 + x * 3) + 6(-7x + -4) = -40(x + 1) + 3
(-21 + 3x) + 6(-7x + -4) = -40(x + 1) + 3

Reorder the terms:
-21 + 3x + 6(-4 + -7x) = -40(x + 1) + 3
-21 + 3x + (-4 * 6 + -7x * 6) = -40(x + 1) + 3
-21 + 3x + (-24 + -42x) = -40(x + 1) + 3

Reorder the terms:
-21 + -24 + 3x + -42x = -40(x + 1) + 3

Combine like terms: -21 + -24 = -45
-45 + 3x + -42x = -40(x + 1) + 3

Combine like terms: 3x + -42x = -39x
-45 + -39x = -40(x + 1) + 3

Reorder the terms:
-45 + -39x = -40(1 + x) + 3
-45 + -39x = (1 * -40 + x * -40) + 3
-45 + -39x = (-40 + -40x) + 3

Reorder the terms:
-45 + -39x = -40 + 3 + -40x

Combine like terms: -40 + 3 = -37
-45 + -39x = -37 + -40x

Solving
-45 + -39x = -37 + -40x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '40x' to each side of the equation.
-45 + -39x + 40x = -37 + -40x + 40x

Combine like terms: -39x + 40x = 1x
-45 + 1x = -37 + -40x + 40x

Combine like terms: -40x + 40x = 0
-45 + 1x = -37 + 0
-45 + 1x = -37

Add '45' to each side of the equation.
-45 + 45 + 1x = -37 + 45

Combine like terms: -45 + 45 = 0
0 + 1x = -37 + 45
1x = -37 + 45

Combine like terms: -37 + 45 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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