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Simplifying 0.25x + 40 + 0.5x + -10 = 180 Reorder the terms: 40 + -10 + 0.25x + 0.5x = 180 Combine like terms: 40 + -10 = 30 30 + 0.25x + 0.5x = 180 Combine like terms: 0.25x + 0.5x = 0.75x 30 + 0.75x = 180 Solving 30 + 0.75x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.75x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 0.75x = 180 + -30 0.75x = 180 + -30 Combine like terms: 180 + -30 = 150 0.75x = 150 Divide each side by '0.75'. x = 200 Simplifying x = 200
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