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Simplifying 0.8(x + 100) + 0.2x = 105 Reorder the terms: 0.8(100 + x) + 0.2x = 105 (100 * 0.8 + x * 0.8) + 0.2x = 105 (80 + 0.8x) + 0.2x = 105 Combine like terms: 0.8x + 0.2x = 1x 80 + 1x = 105 Solving 80 + 1x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 1x = 105 + -80 Combine like terms: 80 + -80 = 0 0 + 1x = 105 + -80 1x = 105 + -80 Combine like terms: 105 + -80 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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