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Simplifying (0.25 * 0.10) + (0.50 * 0.08) + (0.25X) = 0.10 Multiply 0.25 * 0.10 (0.025) + (0.50 * 0.08) + (0.25X) = 0.10 0.025 + (0.50 * 0.08) + (0.25X) = 0.10 Multiply 0.50 * 0.08 0.025 + (0.04) + (0.25X) = 0.10 0.025 + 0.04 + (0.25X) = 0.10 Combine like terms: 0.025 + 0.04 = 0.065 0.065 + (0.25X) = 0.10 Solving 0.065 + (0.25X) = 0.10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.065' to each side of the equation. 0.065 + -0.065 + (0.25X) = 0.10 + -0.065 Combine like terms: 0.065 + -0.065 = 0.000 0.000 + (0.25X) = 0.10 + -0.065 (0.25X) = 0.10 + -0.065 Combine like terms: 0.10 + -0.065 = 0.035 (0.25X) = 0.035 Divide each side by '0.25'. X = 0.14 Simplifying X = 0.14
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