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Simplifying (x + -10)(x + 12) = x(x + -6) Reorder the terms: (-10 + x)(x + 12) = x(x + -6) Reorder the terms: (-10 + x)(12 + x) = x(x + -6) Multiply (-10 + x) * (12 + x) (-10(12 + x) + x(12 + x)) = x(x + -6) ((12 * -10 + x * -10) + x(12 + x)) = x(x + -6) ((-120 + -10x) + x(12 + x)) = x(x + -6) (-120 + -10x + (12 * x + x * x)) = x(x + -6) (-120 + -10x + (12x + x2)) = x(x + -6) Combine like terms: -10x + 12x = 2x (-120 + 2x + x2) = x(x + -6) Reorder the terms: -120 + 2x + x2 = x(-6 + x) -120 + 2x + x2 = (-6 * x + x * x) -120 + 2x + x2 = (-6x + x2) Add '-1x2' to each side of the equation. -120 + 2x + x2 + -1x2 = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -120 + 2x + 0 = -6x + x2 + -1x2 -120 + 2x = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -120 + 2x = -6x + 0 -120 + 2x = -6x Solving -120 + 2x = -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. -120 + 2x + 6x = -6x + 6x Combine like terms: 2x + 6x = 8x -120 + 8x = -6x + 6x Combine like terms: -6x + 6x = 0 -120 + 8x = 0 Add '120' to each side of the equation. -120 + 120 + 8x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 8x = 0 + 120 8x = 0 + 120 Combine like terms: 0 + 120 = 120 8x = 120 Divide each side by '8'. x = 15 Simplifying x = 15
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