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Simplifying 0.1(x + 20) + 0.9x = 27 Reorder the terms: 0.1(20 + x) + 0.9x = 27 (20 * 0.1 + x * 0.1) + 0.9x = 27 (2 + 0.1x) + 0.9x = 27 Combine like terms: 0.1x + 0.9x = 1x 2 + 1x = 27 Solving 2 + 1x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = 27 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 27 + -2 1x = 27 + -2 Combine like terms: 27 + -2 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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