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Simplifying 0.40x + 0.60(100 + -1x) = 0.48(100) 0.40x + (100 * 0.60 + -1x * 0.60) = 0.48(100) 0.40x + (60 + -0.6x) = 0.48(100) Reorder the terms: 60 + 0.40x + -0.6x = 0.48(100) Combine like terms: 0.40x + -0.6x = -0.2x 60 + -0.2x = 0.48(100) Multiply 0.48 * 100 60 + -0.2x = 48 Solving 60 + -0.2x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -0.2x = 48 + -60 Combine like terms: 60 + -60 = 0 0 + -0.2x = 48 + -60 -0.2x = 48 + -60 Combine like terms: 48 + -60 = -12 -0.2x = -12 Divide each side by '-0.2'. x = 60 Simplifying x = 60
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