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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 = 0.75x -35 + 0.75x = 0.35(140) Multiply 0.35 * 140 -35 + 0.75x = 49 Solving -35 + 0.75x = 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 + 0.75x = 49 + 35 Combine like terms: -35 + 35 = 0 0 + 0.75x = 49 + 35 0.75x = 49 + 35 Combine like terms: 49 + 35 = 84 0.75x = 84 Divide each side by '0.75'. x = 112 Simplifying x = 112
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