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Simplifying 20 + x2 = (x + -6)(x + -2) Reorder the terms: 20 + x2 = (-6 + x)(x + -2) Reorder the terms: 20 + x2 = (-6 + x)(-2 + x) Multiply (-6 + x) * (-2 + x) 20 + x2 = (-6(-2 + x) + x(-2 + x)) 20 + x2 = ((-2 * -6 + x * -6) + x(-2 + x)) 20 + x2 = ((12 + -6x) + x(-2 + x)) 20 + x2 = (12 + -6x + (-2 * x + x * x)) 20 + x2 = (12 + -6x + (-2x + x2)) Combine like terms: -6x + -2x = -8x 20 + x2 = (12 + -8x + x2) Add '-1x2' to each side of the equation. 20 + x2 + -1x2 = 12 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + 0 = 12 + -8x + x2 + -1x2 20 = 12 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 = 12 + -8x + 0 20 = 12 + -8x Solving 20 = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + 8x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 8x = 12 + 0 20 + 8x = 12 Add '-20' to each side of the equation. 20 + -20 + 8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 12 + -20 8x = 12 + -20 Combine like terms: 12 + -20 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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