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Simplifying 1.25(100 + x) + 100 + x = 1200 (100 * 1.25 + x * 1.25) + 100 + x = 1200 (125 + 1.25x) + 100 + x = 1200 Reorder the terms: 125 + 100 + 1.25x + x = 1200 Combine like terms: 125 + 100 = 225 225 + 1.25x + x = 1200 Combine like terms: 1.25x + x = 2.25x 225 + 2.25x = 1200 Solving 225 + 2.25x = 1200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + 2.25x = 1200 + -225 Combine like terms: 225 + -225 = 0 0 + 2.25x = 1200 + -225 2.25x = 1200 + -225 Combine like terms: 1200 + -225 = 975 2.25x = 975 Divide each side by '2.25'. x = 433.3333333 Simplifying x = 433.3333333
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