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Simplifying 0.25(x) + 0.50(1000 + -1x) = 0.45(1000) 0.25x + (1000 * 0.50 + -1x * 0.50) = 0.45(1000) 0.25x + (500 + -0.5x) = 0.45(1000) Reorder the terms: 500 + 0.25x + -0.5x = 0.45(1000) Combine like terms: 0.25x + -0.5x = -0.25x 500 + -0.25x = 0.45(1000) Multiply 0.45 * 1000 500 + -0.25x = 450 Solving 500 + -0.25x = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -0.25x = 450 + -500 Combine like terms: 500 + -500 = 0 0 + -0.25x = 450 + -500 -0.25x = 450 + -500 Combine like terms: 450 + -500 = -50 -0.25x = -50 Divide each side by '-0.25'. x = 200 Simplifying x = 200
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