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Simplifying 0.06x + 0.04(8000 + -1x) = 420 0.06x + (8000 * 0.04 + -1x * 0.04) = 420 0.06x + (320 + -0.04x) = 420 Reorder the terms: 320 + 0.06x + -0.04x = 420 Combine like terms: 0.06x + -0.04x = 0.02x 320 + 0.02x = 420 Solving 320 + 0.02x = 420 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 = 420 + -320 Combine like terms: 320 + -320 = 0 0 + 0.02x = 420 + -320 0.02x = 420 + -320 Combine like terms: 420 + -320 = 100 0.02x = 100 Divide each side by '0.02'. x = 5000 Simplifying x = 5000
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