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Simplifying 0.1x + 0.08(6000 + -1x) = 0 0.1x + (6000 * 0.08 + -1x * 0.08) = 0 0.1x + (480 + -0.08x) = 0 Reorder the terms: 480 + 0.1x + -0.08x = 0 Combine like terms: 0.1x + -0.08x = 0.02x 480 + 0.02x = 0 Solving 480 + 0.02x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-480' to each side of the equation. 480 + -480 + 0.02x = 0 + -480 Combine like terms: 480 + -480 = 0 0 + 0.02x = 0 + -480 0.02x = 0 + -480 Combine like terms: 0 + -480 = -480 0.02x = -480 Divide each side by '0.02'. x = -24000 Simplifying x = -24000
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