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Simplifying 0.16x + 9 = 0.11x + 15 Reorder the terms: 9 + 0.16x = 0.11x + 15 Reorder the terms: 9 + 0.16x = 15 + 0.11x Solving 9 + 0.16x = 15 + 0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11x' to each side of the equation. 9 + 0.16x + -0.11x = 15 + 0.11x + -0.11x Combine like terms: 0.16x + -0.11x = 0.05x 9 + 0.05x = 15 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 9 + 0.05x = 15 + 0.00 9 + 0.05x = 15 Add '-9' to each side of the equation. 9 + -9 + 0.05x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 0.05x = 15 + -9 0.05x = 15 + -9 Combine like terms: 15 + -9 = 6 0.05x = 6 Divide each side by '0.05'. x = 120 Simplifying x = 120
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