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Simplifying 0.45x + 0.40(220 + -1x) = 92.25 0.45x + (220 * 0.40 + -1x * 0.40) = 92.25 0.45x + (88 + -0.4x) = 92.25 Reorder the terms: 88 + 0.45x + -0.4x = 92.25 Combine like terms: 0.45x + -0.4x = 0.05x 88 + 0.05x = 92.25 Solving 88 + 0.05x = 92.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 0.05x = 92.25 + -88 Combine like terms: 88 + -88 = 0 0 + 0.05x = 92.25 + -88 0.05x = 92.25 + -88 Combine like terms: 92.25 + -88 = 4.25 0.05x = 4.25 Divide each side by '0.05'. x = 85 Simplifying x = 85
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