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Simplifying 0.07x + 0.09(x + -1500) = 409 Reorder the terms: 0.07x + 0.09(-1500 + x) = 409 0.07x + (-1500 * 0.09 + x * 0.09) = 409 0.07x + (-135 + 0.09x) = 409 Reorder the terms: -135 + 0.07x + 0.09x = 409 Combine like terms: 0.07x + 0.09x = 0.16x -135 + 0.16x = 409 Solving -135 + 0.16x = 409 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 0.16x = 409 + 135 Combine like terms: -135 + 135 = 0 0 + 0.16x = 409 + 135 0.16x = 409 + 135 Combine like terms: 409 + 135 = 544 0.16x = 544 Divide each side by '0.16'. x = 3400 Simplifying x = 3400
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