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Simplifying 0.35x + 0.15(100 + -1x) = 31 0.35x + (100 * 0.15 + -1x * 0.15) = 31 0.35x + (15 + -0.15x) = 31 Reorder the terms: 15 + 0.35x + -0.15x = 31 Combine like terms: 0.35x + -0.15x = 0.2x 15 + 0.2x = 31 Solving 15 + 0.2x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.2x = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 0.2x = 31 + -15 0.2x = 31 + -15 Combine like terms: 31 + -15 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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