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Simplifying (20 + x)(20 + -1x) = (x + 2)(46 + -1x) Multiply (20 + x) * (20 + -1x) (20(20 + -1x) + x(20 + -1x)) = (x + 2)(46 + -1x) ((20 * 20 + -1x * 20) + x(20 + -1x)) = (x + 2)(46 + -1x) ((400 + -20x) + x(20 + -1x)) = (x + 2)(46 + -1x) (400 + -20x + (20 * x + -1x * x)) = (x + 2)(46 + -1x) (400 + -20x + (20x + -1x2)) = (x + 2)(46 + -1x) Combine like terms: -20x + 20x = 0 (400 + 0 + -1x2) = (x + 2)(46 + -1x) (400 + -1x2) = (x + 2)(46 + -1x) Reorder the terms: 400 + -1x2 = (2 + x)(46 + -1x) Multiply (2 + x) * (46 + -1x) 400 + -1x2 = (2(46 + -1x) + x(46 + -1x)) 400 + -1x2 = ((46 * 2 + -1x * 2) + x(46 + -1x)) 400 + -1x2 = ((92 + -2x) + x(46 + -1x)) 400 + -1x2 = (92 + -2x + (46 * x + -1x * x)) 400 + -1x2 = (92 + -2x + (46x + -1x2)) Combine like terms: -2x + 46x = 44x 400 + -1x2 = (92 + 44x + -1x2) Add 'x2' to each side of the equation. 400 + -1x2 + x2 = 92 + 44x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 400 + 0 = 92 + 44x + -1x2 + x2 400 = 92 + 44x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 400 = 92 + 44x + 0 400 = 92 + 44x Solving 400 = 92 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 400 + -44x = 92 + 44x + -44x Combine like terms: 44x + -44x = 0 400 + -44x = 92 + 0 400 + -44x = 92 Add '-400' to each side of the equation. 400 + -400 + -44x = 92 + -400 Combine like terms: 400 + -400 = 0 0 + -44x = 92 + -400 -44x = 92 + -400 Combine like terms: 92 + -400 = -308 -44x = -308 Divide each side by '-44'. x = 7 Simplifying x = 7
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