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Simplifying 200 = 0.75x + -1(900 + 0.5x) 200 = 0.75x + (900 * -1 + 0.5x * -1) 200 = 0.75x + (-900 + -0.5x) Reorder the terms: 200 = -900 + 0.75x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 200 = -900 + 0.25x Solving 200 = -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. 200 + -0.25x = -900 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 200 + -0.25x = -900 + 0.00 200 + -0.25x = -900 Add '-200' to each side of the equation. 200 + -200 + -0.25x = -900 + -200 Combine like terms: 200 + -200 = 0 0 + -0.25x = -900 + -200 -0.25x = -900 + -200 Combine like terms: -900 + -200 = -1100 -0.25x = -1100 Divide each side by '-0.25'. x = 4400 Simplifying x = 4400
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