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Simplifying 0.25x + 0.50(68 + -1x) = 21.75 0.25x + (68 * 0.50 + -1x * 0.50) = 21.75 0.25x + (34 + -0.5x) = 21.75 Reorder the terms: 34 + 0.25x + -0.5x = 21.75 Combine like terms: 0.25x + -0.5x = -0.25x 34 + -0.25x = 21.75 Solving 34 + -0.25x = 21.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -0.25x = 21.75 + -34 Combine like terms: 34 + -34 = 0 0 + -0.25x = 21.75 + -34 -0.25x = 21.75 + -34 Combine like terms: 21.75 + -34 = -12.25 -0.25x = -12.25 Divide each side by '-0.25'. x = 49 Simplifying x = 49
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