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Simplifying 0.95x + 0.05(10 + -1x) = 0.10(95) 0.95x + (10 * 0.05 + -1x * 0.05) = 0.10(95) 0.95x + (0.5 + -0.05x) = 0.10(95) Reorder the terms: 0.5 + 0.95x + -0.05x = 0.10(95) Combine like terms: 0.95x + -0.05x = 0.9x 0.5 + 0.9x = 0.10(95) Multiply 0.10 * 95 0.5 + 0.9x = 9.5 Solving 0.5 + 0.9x = 9.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.9x = 9.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.9x = 9.5 + -0.5 0.9x = 9.5 + -0.5 Combine like terms: 9.5 + -0.5 = 9 0.9x = 9 Divide each side by '0.9'. x = 10 Simplifying x = 10
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