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Simplifying 0.10x + 0.08(x + 1500) = 480 Reorder the terms: 0.10x + 0.08(1500 + x) = 480 0.10x + (1500 * 0.08 + x * 0.08) = 480 0.10x + (120 + 0.08x) = 480 Reorder the terms: 120 + 0.10x + 0.08x = 480 Combine like terms: 0.10x + 0.08x = 0.18x 120 + 0.18x = 480 Solving 120 + 0.18x = 480 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 + 0.18x = 480 + -120 Combine like terms: 120 + -120 = 0 0 + 0.18x = 480 + -120 0.18x = 480 + -120 Combine like terms: 480 + -120 = 360 0.18x = 360 Divide each side by '0.18'. x = 2000 Simplifying x = 2000
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