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Simplifying 0.40x + 0.15(140 + -1x) = 0.25(140) 0.40x + (140 * 0.15 + -1x * 0.15) = 0.25(140) 0.40x + (21 + -0.15x) = 0.25(140) Reorder the terms: 21 + 0.40x + -0.15x = 0.25(140) Combine like terms: 0.40x + -0.15x = 0.25x 21 + 0.25x = 0.25(140) Multiply 0.25 * 140 21 + 0.25x = 35 Solving 21 + 0.25x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 0.25x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 0.25x = 35 + -21 0.25x = 35 + -21 Combine like terms: 35 + -21 = 14 0.25x = 14 Divide each side by '0.25'. x = 56 Simplifying x = 56
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