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Simplifying x2 + -4x + -4 + -8 + x = x(x + -6) Reorder the terms: -4 + -8 + -4x + x + x2 = x(x + -6) Combine like terms: -4 + -8 = -12 -12 + -4x + x + x2 = x(x + -6) Combine like terms: -4x + x = -3x -12 + -3x + x2 = x(x + -6) Reorder the terms: -12 + -3x + x2 = x(-6 + x) -12 + -3x + x2 = (-6 * x + x * x) -12 + -3x + x2 = (-6x + x2) Add '-1x2' to each side of the equation. -12 + -3x + x2 + -1x2 = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + -3x + 0 = -6x + x2 + -1x2 -12 + -3x = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + -3x = -6x + 0 -12 + -3x = -6x Solving -12 + -3x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + -3x + 6x = -6x + 6x Combine like terms: -3x + 6x = 3x -12 + 3x = -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 3x = 0 Add '12' to each side of the equation. -12 + 12 + 3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 0 + 12 3x = 0 + 12 Combine like terms: 0 + 12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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