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Simplifying 0.25x + 0.50(65 + -1x) = 21.75 0.25x + (65 * 0.50 + -1x * 0.50) = 21.75 0.25x + (32.5 + -0.5x) = 21.75 Reorder the terms: 32.5 + 0.25x + -0.5x = 21.75 Combine like terms: 0.25x + -0.5x = -0.25x 32.5 + -0.25x = 21.75 Solving 32.5 + -0.25x = 21.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32.5' to each side of the equation. 32.5 + -32.5 + -0.25x = 21.75 + -32.5 Combine like terms: 32.5 + -32.5 = 0.0 0.0 + -0.25x = 21.75 + -32.5 -0.25x = 21.75 + -32.5 Combine like terms: 21.75 + -32.5 = -10.75 -0.25x = -10.75 Divide each side by '-0.25'. x = 43 Simplifying x = 43
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