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Simplifying 0.25x + 0.5(63 + -1x) = 21.25 0.25x + (63 * 0.5 + -1x * 0.5) = 21.25 0.25x + (31.5 + -0.5x) = 21.25 Reorder the terms: 31.5 + 0.25x + -0.5x = 21.25 Combine like terms: 0.25x + -0.5x = -0.25x 31.5 + -0.25x = 21.25 Solving 31.5 + -0.25x = 21.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31.5' to each side of the equation. 31.5 + -31.5 + -0.25x = 21.25 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + -0.25x = 21.25 + -31.5 -0.25x = 21.25 + -31.5 Combine like terms: 21.25 + -31.5 = -10.25 -0.25x = -10.25 Divide each side by '-0.25'. x = 41 Simplifying x = 41
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