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Simplifying 0.95x + 0.05(6 + -1x) = 0.10(165) 0.95x + (6 * 0.05 + -1x * 0.05) = 0.10(165) 0.95x + (0.3 + -0.05x) = 0.10(165) Reorder the terms: 0.3 + 0.95x + -0.05x = 0.10(165) Combine like terms: 0.95x + -0.05x = 0.9x 0.3 + 0.9x = 0.10(165) Multiply 0.10 * 165 0.3 + 0.9x = 16.5 Solving 0.3 + 0.9x = 16.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.9x = 16.5 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.9x = 16.5 + -0.3 0.9x = 16.5 + -0.3 Combine like terms: 16.5 + -0.3 = 16.2 0.9x = 16.2 Divide each side by '0.9'. x = 18 Simplifying x = 18
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