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Simplifying 0.2(x + 30) + 0.8x = 31 Reorder the terms: 0.2(30 + x) + 0.8x = 31 (30 * 0.2 + x * 0.2) + 0.8x = 31 (6 + 0.2x) + 0.8x = 31 Combine like terms: 0.2x + 0.8x = 1x 6 + 1x = 31 Solving 6 + 1x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 31 + -6 1x = 31 + -6 Combine like terms: 31 + -6 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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