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Simplifying 950 = 1.75x + 1.50(600 + -1x) 950 = 1.75x + (600 * 1.50 + -1x * 1.50) 950 = 1.75x + (900 + -1.5x) Reorder the terms: 950 = 900 + 1.75x + -1.5x Combine like terms: 1.75x + -1.5x = 0.25x 950 = 900 + 0.25x Solving 950 = 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. 950 + -0.25x = 900 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 950 + -0.25x = 900 + 0.00 950 + -0.25x = 900 Add '-950' to each side of the equation. 950 + -950 + -0.25x = 900 + -950 Combine like terms: 950 + -950 = 0 0 + -0.25x = 900 + -950 -0.25x = 900 + -950 Combine like terms: 900 + -950 = -50 -0.25x = -50 Divide each side by '-0.25'. x = 200 Simplifying x = 200
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