-3x-1-(x-1)(x+12)+x^2=-13x-4

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Solution for -3x-1-(x-1)(x+12)+x^2=-13x-4 equation: 


Simplifying
-3x + -1 + -1(x + -1)(x + 12) + x2 = -13x + -4

Reorder the terms:
-3x + -1 + -1(-1 + x)(x + 12) + x2 = -13x + -4

Reorder the terms:
-3x + -1 + -1(-1 + x)(12 + x) + x2 = -13x + -4

Multiply (-1 + x) * (12 + x)
-3x + -1 + -1(-1(12 + x) + x(12 + x)) + x2 = -13x + -4
-3x + -1 + -1((12 * -1 + x * -1) + x(12 + x)) + x2 = -13x + -4
-3x + -1 + -1((-12 + -1x) + x(12 + x)) + x2 = -13x + -4
-3x + -1 + -1(-12 + -1x + (12 * x + x * x)) + x2 = -13x + -4
-3x + -1 + -1(-12 + -1x + (12x + x2)) + x2 = -13x + -4

Combine like terms: -1x + 12x = 11x
-3x + -1 + -1(-12 + 11x + x2) + x2 = -13x + -4
-3x + -1 + (-12 * -1 + 11x * -1 + x2 * -1) + x2 = -13x + -4
-3x + -1 + (12 + -11x + -1x2) + x2 = -13x + -4

Reorder the terms:
-1 + 12 + -3x + -11x + -1x2 + x2 = -13x + -4

Combine like terms: -1 + 12 = 11
11 + -3x + -11x + -1x2 + x2 = -13x + -4

Combine like terms: -3x + -11x = -14x
11 + -14x + -1x2 + x2 = -13x + -4

Combine like terms: -1x2 + x2 = 0
11 + -14x + 0 = -13x + -4
11 + -14x = -13x + -4

Reorder the terms:
11 + -14x = -4 + -13x

Solving
11 + -14x = -4 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
11 + -14x + 13x = -4 + -13x + 13x

Combine like terms: -14x + 13x = -1x
11 + -1x = -4 + -13x + 13x

Combine like terms: -13x + 13x = 0
11 + -1x = -4 + 0
11 + -1x = -4

Add '-11' to each side of the equation.
11 + -11 + -1x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -4 + -11
-1x = -4 + -11

Combine like terms: -4 + -11 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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