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Simplifying 160(0.50x + 0.30(160 + -1x)) = 160(0.40(160)) 160(0.50x + (160 * 0.30 + -1x * 0.30)) = 160(0.40(160)) 160(0.50x + (48 + -0.3x)) = 160(0.40(160)) Reorder the terms: 160(48 + 0.50x + -0.3x) = 160(0.40(160)) Combine like terms: 0.50x + -0.3x = 0.2x 160(48 + 0.2x) = 160(0.40(160)) (48 * 160 + 0.2x * 160) = 160(0.40(160)) (7680 + 32x) = 160(0.40(160)) Multiply 0.40 * 160 7680 + 32x = 160(64) Multiply 160 * 64 7680 + 32x = 10240 Solving 7680 + 32x = 10240 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7680' to each side of the equation. 7680 + -7680 + 32x = 10240 + -7680 Combine like terms: 7680 + -7680 = 0 0 + 32x = 10240 + -7680 32x = 10240 + -7680 Combine like terms: 10240 + -7680 = 2560 32x = 2560 Divide each side by '32'. x = 80 Simplifying x = 80
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