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Simplifying 0.8(x + 20) + 0.2x = 41 Reorder the terms: 0.8(20 + x) + 0.2x = 41 (20 * 0.8 + x * 0.8) + 0.2x = 41 (16 + 0.8x) + 0.2x = 41 Combine like terms: 0.8x + 0.2x = 1x 16 + 1x = 41 Solving 16 + 1x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 41 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 41 + -16 1x = 41 + -16 Combine like terms: 41 + -16 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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