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Simplifying 0.08x + -0.05(100 + -1x) = 0.20 0.08x + (100 * -0.05 + -1x * -0.05) = 0.20 0.08x + (-5 + 0.05x) = 0.20 Reorder the terms: -5 + 0.08x + 0.05x = 0.20 Combine like terms: 0.08x + 0.05x = 0.13x -5 + 0.13x = 0.20 Solving -5 + 0.13x = 0.20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 0.13x = 0.20 + 5 Combine like terms: -5 + 5 = 0 0 + 0.13x = 0.20 + 5 0.13x = 0.20 + 5 Combine like terms: 0.20 + 5 = 5.2 0.13x = 5.2 Divide each side by '0.13'. x = 40 Simplifying x = 40
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