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Simplifying 0.35x + 0.30(240 + -1x) = 76.25 0.35x + (240 * 0.30 + -1x * 0.30) = 76.25 0.35x + (72 + -0.3x) = 76.25 Reorder the terms: 72 + 0.35x + -0.3x = 76.25 Combine like terms: 0.35x + -0.3x = 0.05x 72 + 0.05x = 76.25 Solving 72 + 0.05x = 76.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 0.05x = 76.25 + -72 Combine like terms: 72 + -72 = 0 0 + 0.05x = 76.25 + -72 0.05x = 76.25 + -72 Combine like terms: 76.25 + -72 = 4.25 0.05x = 4.25 Divide each side by '0.05'. x = 85 Simplifying x = 85
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