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Simplifying 0.05(x + 100) + 0.06x = 115 Reorder the terms: 0.05(100 + x) + 0.06x = 115 (100 * 0.05 + x * 0.05) + 0.06x = 115 (5 + 0.05x) + 0.06x = 115 Combine like terms: 0.05x + 0.06x = 0.11x 5 + 0.11x = 115 Solving 5 + 0.11x = 115 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 + 0.11x = 115 + -5 Combine like terms: 5 + -5 = 0 0 + 0.11x = 115 + -5 0.11x = 115 + -5 Combine like terms: 115 + -5 = 110 0.11x = 110 Divide each side by '0.11'. x = 1000 Simplifying x = 1000
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