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Simplifying (20 + -1x)(x) = (x + 4)(12 + -1x) Reorder the terms for easier multiplication: x(20 + -1x) = (x + 4)(12 + -1x) (20 * x + -1x * x) = (x + 4)(12 + -1x) (20x + -1x2) = (x + 4)(12 + -1x) Reorder the terms: 20x + -1x2 = (4 + x)(12 + -1x) Multiply (4 + x) * (12 + -1x) 20x + -1x2 = (4(12 + -1x) + x(12 + -1x)) 20x + -1x2 = ((12 * 4 + -1x * 4) + x(12 + -1x)) 20x + -1x2 = ((48 + -4x) + x(12 + -1x)) 20x + -1x2 = (48 + -4x + (12 * x + -1x * x)) 20x + -1x2 = (48 + -4x + (12x + -1x2)) Combine like terms: -4x + 12x = 8x 20x + -1x2 = (48 + 8x + -1x2) Add 'x2' to each side of the equation. 20x + -1x2 + x2 = 48 + 8x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 20x + 0 = 48 + 8x + -1x2 + x2 20x = 48 + 8x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 20x = 48 + 8x + 0 20x = 48 + 8x Solving 20x = 48 + 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. 20x + -8x = 48 + 8x + -8x Combine like terms: 20x + -8x = 12x 12x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 12x = 48 + 0 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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