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Simplifying 0.02x + 0.01(6000 + -1x) = 82 0.02x + (6000 * 0.01 + -1x * 0.01) = 82 0.02x + (60 + -0.01x) = 82 Reorder the terms: 60 + 0.02x + -0.01x = 82 Combine like terms: 0.02x + -0.01x = 0.01x 60 + 0.01x = 82 Solving 60 + 0.01x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.01x = 82 + -60 Combine like terms: 60 + -60 = 0 0 + 0.01x = 82 + -60 0.01x = 82 + -60 Combine like terms: 82 + -60 = 22 0.01x = 22 Divide each side by '0.01'. x = 2200 Simplifying x = 2200
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