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Simplifying 0.03(2000 + -1x) + 0.02x = 290 (2000 * 0.03 + -1x * 0.03) + 0.02x = 290 (60 + -0.03x) + 0.02x = 290 Combine like terms: -0.03x + 0.02x = -0.01x 60 + -0.01x = 290 Solving 60 + -0.01x = 290 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 = 290 + -60 Combine like terms: 60 + -60 = 0 0 + -0.01x = 290 + -60 -0.01x = 290 + -60 Combine like terms: 290 + -60 = 230 -0.01x = 230 Divide each side by '-0.01'. x = -23000 Simplifying x = -23000
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