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Simplifying 0.60(x + 50) + 0.40x = 55 Reorder the terms: 0.60(50 + x) + 0.40x = 55 (50 * 0.60 + x * 0.60) + 0.40x = 55 (30 + 0.60x) + 0.40x = 55 Combine like terms: 0.60x + 0.40x = 1x 30 + 1x = 55 Solving 30 + 1x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = 55 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 55 + -30 1x = 55 + -30 Combine like terms: 55 + -30 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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