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Simplifying 440 = 0.5 + 0.4(10000 + -1x) 440 = 0.5 + (10000 * 0.4 + -1x * 0.4) 440 = 0.5 + (4000 + -0.4x) Combine like terms: 0.5 + 4000 = 4000.5 440 = 4000.5 + -0.4x Solving 440 = 4000.5 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 440 + 0.4x = 4000.5 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 440 + 0.4x = 4000.5 + 0.0 440 + 0.4x = 4000.5 Add '-440' to each side of the equation. 440 + -440 + 0.4x = 4000.5 + -440 Combine like terms: 440 + -440 = 0 0 + 0.4x = 4000.5 + -440 0.4x = 4000.5 + -440 Combine like terms: 4000.5 + -440 = 3560.5 0.4x = 3560.5 Divide each side by '0.4'. x = 8901.25 Simplifying x = 8901.25
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