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Simplifying 0.13x + 0.09(6000 + -1x) = 0 0.13x + (6000 * 0.09 + -1x * 0.09) = 0 0.13x + (540 + -0.09x) = 0 Reorder the terms: 540 + 0.13x + -0.09x = 0 Combine like terms: 0.13x + -0.09x = 0.04x 540 + 0.04x = 0 Solving 540 + 0.04x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-540' to each side of the equation. 540 + -540 + 0.04x = 0 + -540 Combine like terms: 540 + -540 = 0 0 + 0.04x = 0 + -540 0.04x = 0 + -540 Combine like terms: 0 + -540 = -540 0.04x = -540 Divide each side by '0.04'. x = -13500 Simplifying x = -13500
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