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Simplifying 0.1(x + 60) + 0.9x = 31 Reorder the terms: 0.1(60 + x) + 0.9x = 31 (60 * 0.1 + x * 0.1) + 0.9x = 31 (6 + 0.1x) + 0.9x = 31 Combine like terms: 0.1x + 0.9x = 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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