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Simplifying 60x + 25(100) = 50x + 50(100) Multiply 25 * 100 60x + 2500 = 50x + 50(100) Reorder the terms: 2500 + 60x = 50x + 50(100) Multiply 50 * 100 2500 + 60x = 50x + 5000 Reorder the terms: 2500 + 60x = 5000 + 50x Solving 2500 + 60x = 5000 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 2500 + 60x + -50x = 5000 + 50x + -50x Combine like terms: 60x + -50x = 10x 2500 + 10x = 5000 + 50x + -50x Combine like terms: 50x + -50x = 0 2500 + 10x = 5000 + 0 2500 + 10x = 5000 Add '-2500' to each side of the equation. 2500 + -2500 + 10x = 5000 + -2500 Combine like terms: 2500 + -2500 = 0 0 + 10x = 5000 + -2500 10x = 5000 + -2500 Combine like terms: 5000 + -2500 = 2500 10x = 2500 Divide each side by '10'. x = 250 Simplifying x = 250
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