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Simplifying 400 = 0.75x + -1(650 + 0.5x) 400 = 0.75x + (650 * -1 + 0.5x * -1) 400 = 0.75x + (-650 + -0.5x) Reorder the terms: 400 = -650 + 0.75x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 400 = -650 + 0.25x Solving 400 = -650 + 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 = -650 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 400 + -0.25x = -650 + 0.00 400 + -0.25x = -650 Add '-400' to each side of the equation. 400 + -400 + -0.25x = -650 + -400 Combine like terms: 400 + -400 = 0 0 + -0.25x = -650 + -400 -0.25x = -650 + -400 Combine like terms: -650 + -400 = -1050 -0.25x = -1050 Divide each side by '-0.25'. x = 4200 Simplifying x = 4200
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