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Simplifying 0.07x + 0.08(10000 + -1x) = 420 0.07x + (10000 * 0.08 + -1x * 0.08) = 420 0.07x + (800 + -0.08x) = 420 Reorder the terms: 800 + 0.07x + -0.08x = 420 Combine like terms: 0.07x + -0.08x = -0.01x 800 + -0.01x = 420 Solving 800 + -0.01x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + -0.01x = 420 + -800 Combine like terms: 800 + -800 = 0 0 + -0.01x = 420 + -800 -0.01x = 420 + -800 Combine like terms: 420 + -800 = -380 -0.01x = -380 Divide each side by '-0.01'. x = 38000 Simplifying x = 38000
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