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Simplifying 0.8x + 0.2(100) = 0.4(142) Multiply 0.2 * 100 0.8x + 20 = 0.4(142) Reorder the terms: 20 + 0.8x = 0.4(142) Multiply 0.4 * 142 20 + 0.8x = 56.8 Solving 20 + 0.8x = 56.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.8x = 56.8 + -20 Combine like terms: 20 + -20 = 0 0 + 0.8x = 56.8 + -20 0.8x = 56.8 + -20 Combine like terms: 56.8 + -20 = 36.8 0.8x = 36.8 Divide each side by '0.8'. x = 46 Simplifying x = 46
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