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Simplifying 0.25x + 0.50(73 + -1x) = 23.50 0.25x + (73 * 0.50 + -1x * 0.50) = 23.50 0.25x + (36.5 + -0.5x) = 23.50 Reorder the terms: 36.5 + 0.25x + -0.5x = 23.50 Combine like terms: 0.25x + -0.5x = -0.25x 36.5 + -0.25x = 23.50 Solving 36.5 + -0.25x = 23.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36.5' to each side of the equation. 36.5 + -36.5 + -0.25x = 23.50 + -36.5 Combine like terms: 36.5 + -36.5 = 0.0 0.0 + -0.25x = 23.50 + -36.5 -0.25x = 23.50 + -36.5 Combine like terms: 23.50 + -36.5 = -13 -0.25x = -13 Divide each side by '-0.25'. x = 52 Simplifying x = 52
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