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Simplifying 0.50x + 0.75(-1x + 20) = 11.50 Reorder the terms: 0.50x + 0.75(20 + -1x) = 11.50 0.50x + (20 * 0.75 + -1x * 0.75) = 11.50 0.50x + (15 + -0.75x) = 11.50 Reorder the terms: 15 + 0.50x + -0.75x = 11.50 Combine like terms: 0.50x + -0.75x = -0.25x 15 + -0.25x = 11.50 Solving 15 + -0.25x = 11.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -0.25x = 11.50 + -15 Combine like terms: 15 + -15 = 0 0 + -0.25x = 11.50 + -15 -0.25x = 11.50 + -15 Combine like terms: 11.50 + -15 = -3.5 -0.25x = -3.5 Divide each side by '-0.25'. x = 14 Simplifying x = 14
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