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Simplifying 0.40x + 0.90(80 + -1x) = 80(0.60) 0.40x + (80 * 0.90 + -1x * 0.90) = 80(0.60) 0.40x + (72 + -0.9x) = 80(0.60) Reorder the terms: 72 + 0.40x + -0.9x = 80(0.60) Combine like terms: 0.40x + -0.9x = -0.5x 72 + -0.5x = 80(0.60) Multiply 80 * 0.60 72 + -0.5x = 48 Solving 72 + -0.5x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -0.5x = 48 + -72 Combine like terms: 72 + -72 = 0 0 + -0.5x = 48 + -72 -0.5x = 48 + -72 Combine like terms: 48 + -72 = -24 -0.5x = -24 Divide each side by '-0.5'. x = 48 Simplifying x = 48
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