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Simplifying 0.8x + 0.25(80) = 0.4(120) Multiply 0.25 * 80 0.8x + 20 = 0.4(120) Reorder the terms: 20 + 0.8x = 0.4(120) Multiply 0.4 * 120 20 + 0.8x = 48 Solving 20 + 0.8x = 48 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 = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 0.8x = 48 + -20 0.8x = 48 + -20 Combine like terms: 48 + -20 = 28 0.8x = 28 Divide each side by '0.8'. x = 35 Simplifying x = 35
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