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Simplifying 100(0.09x + 0.11(4x + 39000)) = 100(70540) Reorder the terms: 100(0.09x + 0.11(39000 + 4x)) = 100(70540) 100(0.09x + (39000 * 0.11 + 4x * 0.11)) = 100(70540) 100(0.09x + (4290 + 0.44x)) = 100(70540) Reorder the terms: 100(4290 + 0.09x + 0.44x) = 100(70540) Combine like terms: 0.09x + 0.44x = 0.53x 100(4290 + 0.53x) = 100(70540) (4290 * 100 + 0.53x * 100) = 100(70540) (429000 + 53x) = 100(70540) Multiply 100 * 70540 429000 + 53x = 7054000 Solving 429000 + 53x = 7054000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-429000' to each side of the equation. 429000 + -429000 + 53x = 7054000 + -429000 Combine like terms: 429000 + -429000 = 0 0 + 53x = 7054000 + -429000 53x = 7054000 + -429000 Combine like terms: 7054000 + -429000 = 6625000 53x = 6625000 Divide each side by '53'. x = 125000 Simplifying x = 125000
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