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Simplifying 0.08x + 0.09(900 + -1x) = 500 0.08x + (900 * 0.09 + -1x * 0.09) = 500 0.08x + (81 + -0.09x) = 500 Reorder the terms: 81 + 0.08x + -0.09x = 500 Combine like terms: 0.08x + -0.09x = -0.01x 81 + -0.01x = 500 Solving 81 + -0.01x = 500 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 + -0.01x = 500 + -81 Combine like terms: 81 + -81 = 0 0 + -0.01x = 500 + -81 -0.01x = 500 + -81 Combine like terms: 500 + -81 = 419 -0.01x = 419 Divide each side by '-0.01'. x = -41900 Simplifying x = -41900
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