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Simplifying 0.15x + 0.10(250 + -1x) = 27.75 0.15x + (250 * 0.10 + -1x * 0.10) = 27.75 0.15x + (25 + -0.1x) = 27.75 Reorder the terms: 25 + 0.15x + -0.1x = 27.75 Combine like terms: 0.15x + -0.1x = 0.05x 25 + 0.05x = 27.75 Solving 25 + 0.05x = 27.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.05x = 27.75 + -25 Combine like terms: 25 + -25 = 0 0 + 0.05x = 27.75 + -25 0.05x = 27.75 + -25 Combine like terms: 27.75 + -25 = 2.75 0.05x = 2.75 Divide each side by '0.05'. x = 55 Simplifying x = 55
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