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Simplifying 0.13x + 0.02(x + 6000) = 1020 Reorder the terms: 0.13x + 0.02(6000 + x) = 1020 0.13x + (6000 * 0.02 + x * 0.02) = 1020 0.13x + (120 + 0.02x) = 1020 Reorder the terms: 120 + 0.13x + 0.02x = 1020 Combine like terms: 0.13x + 0.02x = 0.15x 120 + 0.15x = 1020 Solving 120 + 0.15x = 1020 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 0.15x = 1020 + -120 Combine like terms: 120 + -120 = 0 0 + 0.15x = 1020 + -120 0.15x = 1020 + -120 Combine like terms: 1020 + -120 = 900 0.15x = 900 Divide each side by '0.15'. x = 6000 Simplifying x = 6000
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