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Simplifying 560 = (x + 10)(x + 22) + -1(x + 12)(x) Reorder the terms: 560 = (10 + x)(x + 22) + -1(x + 12)(x) Reorder the terms: 560 = (10 + x)(22 + x) + -1(x + 12)(x) Multiply (10 + x) * (22 + x) 560 = (10(22 + x) + x(22 + x)) + -1(x + 12)(x) 560 = ((22 * 10 + x * 10) + x(22 + x)) + -1(x + 12)(x) 560 = ((220 + 10x) + x(22 + x)) + -1(x + 12)(x) 560 = (220 + 10x + (22 * x + x * x)) + -1(x + 12)(x) 560 = (220 + 10x + (22x + x2)) + -1(x + 12)(x) Combine like terms: 10x + 22x = 32x 560 = (220 + 32x + x2) + -1(x + 12)(x) Reorder the terms: 560 = 220 + 32x + x2 + -1(12 + x)(x) Reorder the terms for easier multiplication: 560 = 220 + 32x + x2 + -1x(12 + x) 560 = 220 + 32x + x2 + (12 * -1x + x * -1x) 560 = 220 + 32x + x2 + (-12x + -1x2) Reorder the terms: 560 = 220 + 32x + -12x + x2 + -1x2 Combine like terms: 32x + -12x = 20x 560 = 220 + 20x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 560 = 220 + 20x + 0 560 = 220 + 20x Solving 560 = 220 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 560 + -20x = 220 + 20x + -20x Combine like terms: 20x + -20x = 0 560 + -20x = 220 + 0 560 + -20x = 220 Add '-560' to each side of the equation. 560 + -560 + -20x = 220 + -560 Combine like terms: 560 + -560 = 0 0 + -20x = 220 + -560 -20x = 220 + -560 Combine like terms: 220 + -560 = -340 -20x = -340 Divide each side by '-20'. x = 17 Simplifying x = 17
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