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Simplifying 0.25x + 0.50(61 + -1x) = 19.75 0.25x + (61 * 0.50 + -1x * 0.50) = 19.75 0.25x + (30.5 + -0.5x) = 19.75 Reorder the terms: 30.5 + 0.25x + -0.5x = 19.75 Combine like terms: 0.25x + -0.5x = -0.25x 30.5 + -0.25x = 19.75 Solving 30.5 + -0.25x = 19.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30.5' to each side of the equation. 30.5 + -30.5 + -0.25x = 19.75 + -30.5 Combine like terms: 30.5 + -30.5 = 0.0 0.0 + -0.25x = 19.75 + -30.5 -0.25x = 19.75 + -30.5 Combine like terms: 19.75 + -30.5 = -10.75 -0.25x = -10.75 Divide each side by '-0.25'. x = 43 Simplifying x = 43
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