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Simplifying 0.12x + 0.09(900 + -1x) = 96 0.12x + (900 * 0.09 + -1x * 0.09) = 96 0.12x + (81 + -0.09x) = 96 Reorder the terms: 81 + 0.12x + -0.09x = 96 Combine like terms: 0.12x + -0.09x = 0.03x 81 + 0.03x = 96 Solving 81 + 0.03x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 0.03x = 96 + -81 Combine like terms: 81 + -81 = 0 0 + 0.03x = 96 + -81 0.03x = 96 + -81 Combine like terms: 96 + -81 = 15 0.03x = 15 Divide each side by '0.03'. x = 500 Simplifying x = 500
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