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Simplifying 0.4x + 0.25(100 + -1x) = 31 0.4x + (100 * 0.25 + -1x * 0.25) = 31 0.4x + (25 + -0.25x) = 31 Reorder the terms: 25 + 0.4x + -0.25x = 31 Combine like terms: 0.4x + -0.25x = 0.15x 25 + 0.15x = 31 Solving 25 + 0.15x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.15x = 31 + -25 Combine like terms: 25 + -25 = 0 0 + 0.15x = 31 + -25 0.15x = 31 + -25 Combine like terms: 31 + -25 = 6 0.15x = 6 Divide each side by '0.15'. x = 40 Simplifying x = 40
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