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Simplifying 0.6x + 0.40(100 + -2x) = 20 0.6x + (100 * 0.40 + -2x * 0.40) = 20 0.6x + (40 + -0.8x) = 20 Reorder the terms: 40 + 0.6x + -0.8x = 20 Combine like terms: 0.6x + -0.8x = -0.2x 40 + -0.2x = 20 Solving 40 + -0.2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -0.2x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2x = 20 + -40 -0.2x = 20 + -40 Combine like terms: 20 + -40 = -20 -0.2x = -20 Divide each side by '-0.2'. x = 100 Simplifying x = 100
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