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Simplifying 0.6x + 0.4(100 + -1x) = 50 0.6x + (100 * 0.4 + -1x * 0.4) = 50 0.6x + (40 + -0.4x) = 50 Reorder the terms: 40 + 0.6x + -0.4x = 50 Combine like terms: 0.6x + -0.4x = 0.2x 40 + 0.2x = 50 Solving 40 + 0.2x = 50 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 = 50 + -40 Combine like terms: 40 + -40 = 0 0 + 0.2x = 50 + -40 0.2x = 50 + -40 Combine like terms: 50 + -40 = 10 0.2x = 10 Divide each side by '0.2'. x = 50 Simplifying x = 50
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