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Simplifying 60x + 20(400 + -1x) = 50(100) 60x + (400 * 20 + -1x * 20) = 50(100) 60x + (8000 + -20x) = 50(100) Reorder the terms: 8000 + 60x + -20x = 50(100) Combine like terms: 60x + -20x = 40x 8000 + 40x = 50(100) Multiply 50 * 100 8000 + 40x = 5000 Solving 8000 + 40x = 5000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8000' to each side of the equation. 8000 + -8000 + 40x = 5000 + -8000 Combine like terms: 8000 + -8000 = 0 0 + 40x = 5000 + -8000 40x = 5000 + -8000 Combine like terms: 5000 + -8000 = -3000 40x = -3000 Divide each side by '40'. x = -75 Simplifying x = -75
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