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Simplifying 0.95x + 0.60(160 + -1x) = 0.55x 0.95x + (160 * 0.60 + -1x * 0.60) = 0.55x 0.95x + (96 + -0.6x) = 0.55x Reorder the terms: 96 + 0.95x + -0.6x = 0.55x Combine like terms: 0.95x + -0.6x = 0.35x 96 + 0.35x = 0.55x Solving 96 + 0.35x = 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 96 + 0.35x + -0.55x = 0.55x + -0.55x Combine like terms: 0.35x + -0.55x = -0.2x 96 + -0.2x = 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 96 + -0.2x = 0.00 Add '-96' to each side of the equation. 96 + -96 + -0.2x = 0.00 + -96 Combine like terms: 96 + -96 = 0 0 + -0.2x = 0.00 + -96 -0.2x = 0.00 + -96 Combine like terms: 0.00 + -96 = -96 -0.2x = -96 Divide each side by '-0.2'. x = 480 Simplifying x = 480
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