4(3x+9)-2(5x+7)+7(x+3)=-2(x+1)+2(x-7)

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Solution for 4(3x+9)-2(5x+7)+7(x+3)=-2(x+1)+2(x-7) equation: 


Simplifying
4(3x + 9) + -2(5x + 7) + 7(x + 3) = -2(x + 1) + 2(x + -7)

Reorder the terms:
4(9 + 3x) + -2(5x + 7) + 7(x + 3) = -2(x + 1) + 2(x + -7)
(9 * 4 + 3x * 4) + -2(5x + 7) + 7(x + 3) = -2(x + 1) + 2(x + -7)
(36 + 12x) + -2(5x + 7) + 7(x + 3) = -2(x + 1) + 2(x + -7)

Reorder the terms:
36 + 12x + -2(7 + 5x) + 7(x + 3) = -2(x + 1) + 2(x + -7)
36 + 12x + (7 * -2 + 5x * -2) + 7(x + 3) = -2(x + 1) + 2(x + -7)
36 + 12x + (-14 + -10x) + 7(x + 3) = -2(x + 1) + 2(x + -7)

Reorder the terms:
36 + 12x + -14 + -10x + 7(3 + x) = -2(x + 1) + 2(x + -7)
36 + 12x + -14 + -10x + (3 * 7 + x * 7) = -2(x + 1) + 2(x + -7)
36 + 12x + -14 + -10x + (21 + 7x) = -2(x + 1) + 2(x + -7)

Reorder the terms:
36 + -14 + 21 + 12x + -10x + 7x = -2(x + 1) + 2(x + -7)

Combine like terms: 36 + -14 = 22
22 + 21 + 12x + -10x + 7x = -2(x + 1) + 2(x + -7)

Combine like terms: 22 + 21 = 43
43 + 12x + -10x + 7x = -2(x + 1) + 2(x + -7)

Combine like terms: 12x + -10x = 2x
43 + 2x + 7x = -2(x + 1) + 2(x + -7)

Combine like terms: 2x + 7x = 9x
43 + 9x = -2(x + 1) + 2(x + -7)

Reorder the terms:
43 + 9x = -2(1 + x) + 2(x + -7)
43 + 9x = (1 * -2 + x * -2) + 2(x + -7)
43 + 9x = (-2 + -2x) + 2(x + -7)

Reorder the terms:
43 + 9x = -2 + -2x + 2(-7 + x)
43 + 9x = -2 + -2x + (-7 * 2 + x * 2)
43 + 9x = -2 + -2x + (-14 + 2x)

Reorder the terms:
43 + 9x = -2 + -14 + -2x + 2x

Combine like terms: -2 + -14 = -16
43 + 9x = -16 + -2x + 2x

Combine like terms: -2x + 2x = 0
43 + 9x = -16 + 0
43 + 9x = -16

Solving
43 + 9x = -16

Solving for variable 'x'.

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

Add '-43' to each side of the equation.
43 + -43 + 9x = -16 + -43

Combine like terms: 43 + -43 = 0
0 + 9x = -16 + -43
9x = -16 + -43

Combine like terms: -16 + -43 = -59
9x = -59

Divide each side by '9'.
x = -6.555555556

Simplifying
x = -6.555555556

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