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Simplifying 0.75x + 1.25(900 + -1x) = 950 0.75x + (900 * 1.25 + -1x * 1.25) = 950 0.75x + (1125 + -1.25x) = 950 Reorder the terms: 1125 + 0.75x + -1.25x = 950 Combine like terms: 0.75x + -1.25x = -0.5x 1125 + -0.5x = 950 Solving 1125 + -0.5x = 950 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1125' to each side of the equation. 1125 + -1125 + -0.5x = 950 + -1125 Combine like terms: 1125 + -1125 = 0 0 + -0.5x = 950 + -1125 -0.5x = 950 + -1125 Combine like terms: 950 + -1125 = -175 -0.5x = -175 Divide each side by '-0.5'. x = 350 Simplifying x = 350
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