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Simplifying 0.40x + 0.15(240 + -1x) = 0.25(240) 0.40x + (240 * 0.15 + -1x * 0.15) = 0.25(240) 0.40x + (36 + -0.15x) = 0.25(240) Reorder the terms: 36 + 0.40x + -0.15x = 0.25(240) Combine like terms: 0.40x + -0.15x = 0.25x 36 + 0.25x = 0.25(240) Multiply 0.25 * 240 36 + 0.25x = 60 Solving 36 + 0.25x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 0.25x = 60 + -36 Combine like terms: 36 + -36 = 0 0 + 0.25x = 60 + -36 0.25x = 60 + -36 Combine like terms: 60 + -36 = 24 0.25x = 24 Divide each side by '0.25'. x = 96 Simplifying x = 96
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