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Simplifying 0.50 + 0.20(100 + -1x) = 0.40(100) 0.50 + (100 * 0.20 + -1x * 0.20) = 0.40(100) 0.50 + (20 + -0.2x) = 0.40(100) Combine like terms: 0.50 + 20 = 20.5 20.5 + -0.2x = 0.40(100) Multiply 0.40 * 100 20.5 + -0.2x = 40 Solving 20.5 + -0.2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20.5' to each side of the equation. 20.5 + -20.5 + -0.2x = 40 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -0.2x = 40 + -20.5 -0.2x = 40 + -20.5 Combine like terms: 40 + -20.5 = 19.5 -0.2x = 19.5 Divide each side by '-0.2'. x = -97.5 Simplifying x = -97.5
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