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Simplifying x(0.08) + (0.06)(4000 + -1x) = 280 Reorder the terms for easier multiplication: 0.08x + (0.06)(4000 + -1x) = 280 0.08x + (4000 * 0.06 + -1x * 0.06) = 280 0.08x + (240 + -0.06x) = 280 Reorder the terms: 240 + 0.08x + -0.06x = 280 Combine like terms: 0.08x + -0.06x = 0.02x 240 + 0.02x = 280 Solving 240 + 0.02x = 280 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240' to each side of the equation. 240 + -240 + 0.02x = 280 + -240 Combine like terms: 240 + -240 = 0 0 + 0.02x = 280 + -240 0.02x = 280 + -240 Combine like terms: 280 + -240 = 40 0.02x = 40 Divide each side by '0.02'. x = 2000 Simplifying x = 2000
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