7-2*(3x+9)-(9x+(4-(3x+1)))=12*(x+1)-2

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Solution for 7-2*(3x+9)-(9x+(4-(3x+1)))=12*(x+1)-2 equation: 


Simplifying
7 + -2(3x + 9) + -1(9x + (4 + -1(3x + 1))) = 12(x + 1) + -2

Reorder the terms:
7 + -2(9 + 3x) + -1(9x + (4 + -1(3x + 1))) = 12(x + 1) + -2
7 + (9 * -2 + 3x * -2) + -1(9x + (4 + -1(3x + 1))) = 12(x + 1) + -2
7 + (-18 + -6x) + -1(9x + (4 + -1(3x + 1))) = 12(x + 1) + -2

Reorder the terms:
7 + -18 + -6x + -1(9x + (4 + -1(1 + 3x))) = 12(x + 1) + -2
7 + -18 + -6x + -1(9x + (4 + (1 * -1 + 3x * -1))) = 12(x + 1) + -2
7 + -18 + -6x + -1(9x + (4 + (-1 + -3x))) = 12(x + 1) + -2

Combine like terms: 4 + -1 = 3
7 + -18 + -6x + -1(9x + (3 + -3x)) = 12(x + 1) + -2

Remove parenthesis around (3 + -3x)
7 + -18 + -6x + -1(9x + 3 + -3x) = 12(x + 1) + -2

Reorder the terms:
7 + -18 + -6x + -1(3 + 9x + -3x) = 12(x + 1) + -2

Combine like terms: 9x + -3x = 6x
7 + -18 + -6x + -1(3 + 6x) = 12(x + 1) + -2
7 + -18 + -6x + (3 * -1 + 6x * -1) = 12(x + 1) + -2
7 + -18 + -6x + (-3 + -6x) = 12(x + 1) + -2

Reorder the terms:
7 + -18 + -3 + -6x + -6x = 12(x + 1) + -2

Combine like terms: 7 + -18 = -11
-11 + -3 + -6x + -6x = 12(x + 1) + -2

Combine like terms: -11 + -3 = -14
-14 + -6x + -6x = 12(x + 1) + -2

Combine like terms: -6x + -6x = -12x
-14 + -12x = 12(x + 1) + -2

Reorder the terms:
-14 + -12x = 12(1 + x) + -2
-14 + -12x = (1 * 12 + x * 12) + -2
-14 + -12x = (12 + 12x) + -2

Reorder the terms:
-14 + -12x = 12 + -2 + 12x

Combine like terms: 12 + -2 = 10
-14 + -12x = 10 + 12x

Solving
-14 + -12x = 10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-14 + -12x + -12x = 10 + 12x + -12x

Combine like terms: -12x + -12x = -24x
-14 + -24x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0
-14 + -24x = 10 + 0
-14 + -24x = 10

Add '14' to each side of the equation.
-14 + 14 + -24x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -24x = 10 + 14
-24x = 10 + 14

Combine like terms: 10 + 14 = 24
-24x = 24

Divide each side by '-24'.
x = -1

Simplifying
x = -1

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