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Simplifying 400 = 1.5x + -1(900 + 1.25x) 400 = 1.5x + (900 * -1 + 1.25x * -1) 400 = 1.5x + (-900 + -1.25x) Reorder the terms: 400 = -900 + 1.5x + -1.25x Combine like terms: 1.5x + -1.25x = 0.25x 400 = -900 + 0.25x Solving 400 = -900 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 400 + -0.25x = -900 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 400 + -0.25x = -900 + 0.00 400 + -0.25x = -900 Add '-400' to each side of the equation. 400 + -400 + -0.25x = -900 + -400 Combine like terms: 400 + -400 = 0 0 + -0.25x = -900 + -400 -0.25x = -900 + -400 Combine like terms: -900 + -400 = -1300 -0.25x = -1300 Divide each side by '-0.25'. x = 5200 Simplifying x = 5200
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