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Simplifying 0.95x + 0.05(100 + -1x) = 0.11(100) 0.95x + (100 * 0.05 + -1x * 0.05) = 0.11(100) 0.95x + (5 + -0.05x) = 0.11(100) Reorder the terms: 5 + 0.95x + -0.05x = 0.11(100) Combine like terms: 0.95x + -0.05x = 0.9x 5 + 0.9x = 0.11(100) Multiply 0.11 * 100 5 + 0.9x = 11 Solving 5 + 0.9x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.9x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 0.9x = 11 + -5 0.9x = 11 + -5 Combine like terms: 11 + -5 = 6 0.9x = 6 Divide each side by '0.9'. x = 6.666666667 Simplifying x = 6.666666667
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