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Simplifying 2500 + x(150) = 3000 + x(125) Reorder the terms for easier multiplication: 2500 + 150x = 3000 + x(125) Reorder the terms for easier multiplication: 2500 + 150x = 3000 + 125x Solving 2500 + 150x = 3000 + 125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125x' to each side of the equation. 2500 + 150x + -125x = 3000 + 125x + -125x Combine like terms: 150x + -125x = 25x 2500 + 25x = 3000 + 125x + -125x Combine like terms: 125x + -125x = 0 2500 + 25x = 3000 + 0 2500 + 25x = 3000 Add '-2500' to each side of the equation. 2500 + -2500 + 25x = 3000 + -2500 Combine like terms: 2500 + -2500 = 0 0 + 25x = 3000 + -2500 25x = 3000 + -2500 Combine like terms: 3000 + -2500 = 500 25x = 500 Divide each side by '25'. x = 20 Simplifying x = 20
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