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Simplifying 0.95x + 0.05(12 + -1x) = 0.10(96) 0.95x + (12 * 0.05 + -1x * 0.05) = 0.10(96) 0.95x + (0.6 + -0.05x) = 0.10(96) Reorder the terms: 0.6 + 0.95x + -0.05x = 0.10(96) Combine like terms: 0.95x + -0.05x = 0.9x 0.6 + 0.9x = 0.10(96) Multiply 0.10 * 96 0.6 + 0.9x = 9.6 Solving 0.6 + 0.9x = 9.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.9x = 9.6 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.9x = 9.6 + -0.6 0.9x = 9.6 + -0.6 Combine like terms: 9.6 + -0.6 = 9 0.9x = 9 Divide each side by '0.9'. x = 10 Simplifying x = 10
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