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Simplifying 0.25x + 0.50(54 + -1x) = 18.50 0.25x + (54 * 0.50 + -1x * 0.50) = 18.50 0.25x + (27 + -0.5x) = 18.50 Reorder the terms: 27 + 0.25x + -0.5x = 18.50 Combine like terms: 0.25x + -0.5x = -0.25x 27 + -0.25x = 18.50 Solving 27 + -0.25x = 18.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -0.25x = 18.50 + -27 Combine like terms: 27 + -27 = 0 0 + -0.25x = 18.50 + -27 -0.25x = 18.50 + -27 Combine like terms: 18.50 + -27 = -8.5 -0.25x = -8.5 Divide each side by '-0.25'. x = 34 Simplifying x = 34
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