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Simplifying 0.35x + 0.10(100 + -1x) = 28 0.35x + (100 * 0.10 + -1x * 0.10) = 28 0.35x + (10 + -0.1x) = 28 Reorder the terms: 10 + 0.35x + -0.1x = 28 Combine like terms: 0.35x + -0.1x = 0.25x 10 + 0.25x = 28 Solving 10 + 0.25x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.25x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 0.25x = 28 + -10 0.25x = 28 + -10 Combine like terms: 28 + -10 = 18 0.25x = 18 Divide each side by '0.25'. x = 72 Simplifying x = 72
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