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Simplifying 0.40x + 0.15(100 + -1x) = 18 0.40x + (100 * 0.15 + -1x * 0.15) = 18 0.40x + (15 + -0.15x) = 18 Reorder the terms: 15 + 0.40x + -0.15x = 18 Combine like terms: 0.40x + -0.15x = 0.25x 15 + 0.25x = 18 Solving 15 + 0.25x = 18 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 + 0.25x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 0.25x = 18 + -15 0.25x = 18 + -15 Combine like terms: 18 + -15 = 3 0.25x = 3 Divide each side by '0.25'. x = 12 Simplifying x = 12
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