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Simplifying 0.35 * 60 + 0.15(60 + x) + 0.25 * 100 + 0.25(100 + x) = 0 Multiply 0.35 * 60 21 + 0.15(60 + x) + 0.25 * 100 + 0.25(100 + x) = 0 21 + (60 * 0.15 + x * 0.15) + 0.25 * 100 + 0.25(100 + x) = 0 21 + (9 + 0.15x) + 0.25 * 100 + 0.25(100 + x) = 0 Multiply 0.25 * 100 21 + 9 + 0.15x + 25 + 0.25(100 + x) = 0 21 + 9 + 0.15x + 25 + (100 * 0.25 + x * 0.25) = 0 21 + 9 + 0.15x + 25 + (25 + 0.25x) = 0 Reorder the terms: 21 + 9 + 25 + 25 + 0.15x + 0.25x = 0 Combine like terms: 21 + 9 = 30 30 + 25 + 25 + 0.15x + 0.25x = 0 Combine like terms: 30 + 25 = 55 55 + 25 + 0.15x + 0.25x = 0 Combine like terms: 55 + 25 = 80 80 + 0.15x + 0.25x = 0 Combine like terms: 0.15x + 0.25x = 0.4x 80 + 0.4x = 0 Solving 80 + 0.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 0.4x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 0.4x = 0 + -80 0.4x = 0 + -80 Combine like terms: 0 + -80 = -80 0.4x = -80 Divide each side by '0.4'. x = -200 Simplifying x = -200
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