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Simplifying 0.045x + 0.03(1000 + -0.5x) = 1020 0.045x + (1000 * 0.03 + -0.5x * 0.03) = 1020 0.045x + (30 + -0.015x) = 1020 Reorder the terms: 30 + 0.045x + -0.015x = 1020 Combine like terms: 0.045x + -0.015x = 0.03x 30 + 0.03x = 1020 Solving 30 + 0.03x = 1020 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.03x = 1020 + -30 Combine like terms: 30 + -30 = 0 0 + 0.03x = 1020 + -30 0.03x = 1020 + -30 Combine like terms: 1020 + -30 = 990 0.03x = 990 Divide each side by '0.03'. x = 33000 Simplifying x = 33000
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