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Simplifying x(0.06) + (4000 + -1x)(0.08) = 280 Reorder the terms for easier multiplication: 0.06x + (4000 + -1x)(0.08) = 280 Reorder the terms for easier multiplication: 0.06x + 0.08(4000 + -1x) = 280 0.06x + (4000 * 0.08 + -1x * 0.08) = 280 0.06x + (320 + -0.08x) = 280 Reorder the terms: 320 + 0.06x + -0.08x = 280 Combine like terms: 0.06x + -0.08x = -0.02x 320 + -0.02x = 280 Solving 320 + -0.02x = 280 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-320' to each side of the equation. 320 + -320 + -0.02x = 280 + -320 Combine like terms: 320 + -320 = 0 0 + -0.02x = 280 + -320 -0.02x = 280 + -320 Combine like terms: 280 + -320 = -40 -0.02x = -40 Divide each side by '-0.02'. x = 2000 Simplifying x = 2000
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