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Simplifying 0.5x + 0.25(140 + -1x) = 0.35(140) 0.5x + (140 * 0.25 + -1x * 0.25) = 0.35(140) 0.5x + (35 + -0.25x) = 0.35(140) Reorder the terms: 35 + 0.5x + -0.25x = 0.35(140) Combine like terms: 0.5x + -0.25x = 0.25x 35 + 0.25x = 0.35(140) Multiply 0.35 * 140 35 + 0.25x = 49 Solving 35 + 0.25x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 0.25x = 49 + -35 Combine like terms: 35 + -35 = 0 0 + 0.25x = 49 + -35 0.25x = 49 + -35 Combine like terms: 49 + -35 = 14 0.25x = 14 Divide each side by '0.25'. x = 56 Simplifying x = 56
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