4(x+2)+1+7(3x-9)-8-2(x+4)=7x-3(x-2)+9(6x-10)+7-1(x+7)

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Solution for 4(x+2)+1+7(3x-9)-8-2(x+4)=7x-3(x-2)+9(6x-10)+7-1(x+7) equation:


Simplifying
4(x + 2) + 1 + 7(3x + -9) + -8 + -2(x + 4) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Reorder the terms:
4(2 + x) + 1 + 7(3x + -9) + -8 + -2(x + 4) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)
(2 * 4 + x * 4) + 1 + 7(3x + -9) + -8 + -2(x + 4) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)
(8 + 4x) + 1 + 7(3x + -9) + -8 + -2(x + 4) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Reorder the terms:
8 + 4x + 1 + 7(-9 + 3x) + -8 + -2(x + 4) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)
8 + 4x + 1 + (-9 * 7 + 3x * 7) + -8 + -2(x + 4) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)
8 + 4x + 1 + (-63 + 21x) + -8 + -2(x + 4) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Reorder the terms:
8 + 4x + 1 + -63 + 21x + -8 + -2(4 + x) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)
8 + 4x + 1 + -63 + 21x + -8 + (4 * -2 + x * -2) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)
8 + 4x + 1 + -63 + 21x + -8 + (-8 + -2x) = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Reorder the terms:
8 + 1 + -63 + -8 + -8 + 4x + 21x + -2x = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Combine like terms: 8 + 1 = 9
9 + -63 + -8 + -8 + 4x + 21x + -2x = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Combine like terms: 9 + -63 = -54
-54 + -8 + -8 + 4x + 21x + -2x = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Combine like terms: -54 + -8 = -62
-62 + -8 + 4x + 21x + -2x = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Combine like terms: -62 + -8 = -70
-70 + 4x + 21x + -2x = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Combine like terms: 4x + 21x = 25x
-70 + 25x + -2x = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Combine like terms: 25x + -2x = 23x
-70 + 23x = 7x + -3(x + -2) + 9(6x + -10) + 7 + -1(x + 7)

Reorder the terms:
-70 + 23x = 7x + -3(-2 + x) + 9(6x + -10) + 7 + -1(x + 7)
-70 + 23x = 7x + (-2 * -3 + x * -3) + 9(6x + -10) + 7 + -1(x + 7)
-70 + 23x = 7x + (6 + -3x) + 9(6x + -10) + 7 + -1(x + 7)

Reorder the terms:
-70 + 23x = 7x + 6 + -3x + 9(-10 + 6x) + 7 + -1(x + 7)
-70 + 23x = 7x + 6 + -3x + (-10 * 9 + 6x * 9) + 7 + -1(x + 7)
-70 + 23x = 7x + 6 + -3x + (-90 + 54x) + 7 + -1(x + 7)

Reorder the terms:
-70 + 23x = 7x + 6 + -3x + -90 + 54x + 7 + -1(7 + x)
-70 + 23x = 7x + 6 + -3x + -90 + 54x + 7 + (7 * -1 + x * -1)
-70 + 23x = 7x + 6 + -3x + -90 + 54x + 7 + (-7 + -1x)

Reorder the terms:
-70 + 23x = 6 + -90 + 7 + -7 + 7x + -3x + 54x + -1x

Combine like terms: 6 + -90 = -84
-70 + 23x = -84 + 7 + -7 + 7x + -3x + 54x + -1x

Combine like terms: -84 + 7 = -77
-70 + 23x = -77 + -7 + 7x + -3x + 54x + -1x

Combine like terms: -77 + -7 = -84
-70 + 23x = -84 + 7x + -3x + 54x + -1x

Combine like terms: 7x + -3x = 4x
-70 + 23x = -84 + 4x + 54x + -1x

Combine like terms: 4x + 54x = 58x
-70 + 23x = -84 + 58x + -1x

Combine like terms: 58x + -1x = 57x
-70 + 23x = -84 + 57x

Solving
-70 + 23x = -84 + 57x

Solving for variable 'x'.

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

Add '-57x' to each side of the equation.
-70 + 23x + -57x = -84 + 57x + -57x

Combine like terms: 23x + -57x = -34x
-70 + -34x = -84 + 57x + -57x

Combine like terms: 57x + -57x = 0
-70 + -34x = -84 + 0
-70 + -34x = -84

Add '70' to each side of the equation.
-70 + 70 + -34x = -84 + 70

Combine like terms: -70 + 70 = 0
0 + -34x = -84 + 70
-34x = -84 + 70

Combine like terms: -84 + 70 = -14
-34x = -14

Divide each side by '-34'.
x = 0.4117647059

Simplifying
x = 0.4117647059

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