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Simplifying (2x + 5)(y + 20) = 10000 Reorder the terms: (5 + 2x)(y + 20) = 10000 Reorder the terms: (5 + 2x)(20 + y) = 10000 Multiply (5 + 2x) * (20 + y) (5(20 + y) + 2x * (20 + y)) = 10000 ((20 * 5 + y * 5) + 2x * (20 + y)) = 10000 ((100 + 5y) + 2x * (20 + y)) = 10000 (100 + 5y + (20 * 2x + y * 2x)) = 10000 (100 + 5y + (40x + 2xy)) = 10000 Reorder the terms: (100 + 40x + 2xy + 5y) = 10000 (100 + 40x + 2xy + 5y) = 10000 Solving 100 + 40x + 2xy + 5y = 10000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 40x + 2xy + -100 + 5y = 10000 + -100 Reorder the terms: 100 + -100 + 40x + 2xy + 5y = 10000 + -100 Combine like terms: 100 + -100 = 0 0 + 40x + 2xy + 5y = 10000 + -100 40x + 2xy + 5y = 10000 + -100 Combine like terms: 10000 + -100 = 9900 40x + 2xy + 5y = 9900 Add '-5y' to each side of the equation. 40x + 2xy + 5y + -5y = 9900 + -5y Combine like terms: 5y + -5y = 0 40x + 2xy + 0 = 9900 + -5y 40x + 2xy = 9900 + -5y Reorder the terms: -9900 + 40x + 2xy + 5y = 9900 + -5y + -9900 + 5y Reorder the terms: -9900 + 40x + 2xy + 5y = 9900 + -9900 + -5y + 5y Combine like terms: 9900 + -9900 = 0 -9900 + 40x + 2xy + 5y = 0 + -5y + 5y -9900 + 40x + 2xy + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -9900 + 40x + 2xy + 5y = 0 The solution to this equation could not be determined.
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