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Simplifying 0.08x + 0.09(9000 + -1x) = 500 0.08x + (9000 * 0.09 + -1x * 0.09) = 500 0.08x + (810 + -0.09x) = 500 Reorder the terms: 810 + 0.08x + -0.09x = 500 Combine like terms: 0.08x + -0.09x = -0.01x 810 + -0.01x = 500 Solving 810 + -0.01x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-810' to each side of the equation. 810 + -810 + -0.01x = 500 + -810 Combine like terms: 810 + -810 = 0 0 + -0.01x = 500 + -810 -0.01x = 500 + -810 Combine like terms: 500 + -810 = -310 -0.01x = -310 Divide each side by '-0.01'. x = 31000 Simplifying x = 31000
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