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Simplifying 0.25x + 0.50(74 + -1x) = 24.25 0.25x + (74 * 0.50 + -1x * 0.50) = 24.25 0.25x + (37 + -0.5x) = 24.25 Reorder the terms: 37 + 0.25x + -0.5x = 24.25 Combine like terms: 0.25x + -0.5x = -0.25x 37 + -0.25x = 24.25 Solving 37 + -0.25x = 24.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -0.25x = 24.25 + -37 Combine like terms: 37 + -37 = 0 0 + -0.25x = 24.25 + -37 -0.25x = 24.25 + -37 Combine like terms: 24.25 + -37 = -12.75 -0.25x = -12.75 Divide each side by '-0.25'. x = 51 Simplifying x = 51
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