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Simplifying 0.06x + 0.08(x + 100) = 15 Reorder the terms: 0.06x + 0.08(100 + x) = 15 0.06x + (100 * 0.08 + x * 0.08) = 15 0.06x + (8 + 0.08x) = 15 Reorder the terms: 8 + 0.06x + 0.08x = 15 Combine like terms: 0.06x + 0.08x = 0.14x 8 + 0.14x = 15 Solving 8 + 0.14x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.14x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 0.14x = 15 + -8 0.14x = 15 + -8 Combine like terms: 15 + -8 = 7 0.14x = 7 Divide each side by '0.14'. x = 50 Simplifying x = 50
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