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Simplifying 440(0.70x + 0.15(440 + -1x)) = 440(0.60(440)) 440(0.70x + (440 * 0.15 + -1x * 0.15)) = 440(0.60(440)) 440(0.70x + (66 + -0.15x)) = 440(0.60(440)) Reorder the terms: 440(66 + 0.70x + -0.15x) = 440(0.60(440)) Combine like terms: 0.70x + -0.15x = 0.55x 440(66 + 0.55x) = 440(0.60(440)) (66 * 440 + 0.55x * 440) = 440(0.60(440)) (29040 + 242x) = 440(0.60(440)) Multiply 0.60 * 440 29040 + 242x = 440(264) Multiply 440 * 264 29040 + 242x = 116160 Solving 29040 + 242x = 116160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29040' to each side of the equation. 29040 + -29040 + 242x = 116160 + -29040 Combine like terms: 29040 + -29040 = 0 0 + 242x = 116160 + -29040 242x = 116160 + -29040 Combine like terms: 116160 + -29040 = 87120 242x = 87120 Divide each side by '242'. x = 360 Simplifying x = 360
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