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Simplifying 0.11x + 0.05(7500 + x) = 675 0.11x + (7500 * 0.05 + x * 0.05) = 675 0.11x + (375 + 0.05x) = 675 Reorder the terms: 375 + 0.11x + 0.05x = 675 Combine like terms: 0.11x + 0.05x = 0.16x 375 + 0.16x = 675 Solving 375 + 0.16x = 675 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-375' to each side of the equation. 375 + -375 + 0.16x = 675 + -375 Combine like terms: 375 + -375 = 0 0 + 0.16x = 675 + -375 0.16x = 675 + -375 Combine like terms: 675 + -375 = 300 0.16x = 300 Divide each side by '0.16'. x = 1875 Simplifying x = 1875
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