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Simplifying 0.1(x + 10) + 0.9x = 26 Reorder the terms: 0.1(10 + x) + 0.9x = 26 (10 * 0.1 + x * 0.1) + 0.9x = 26 (1 + 0.1x) + 0.9x = 26 Combine like terms: 0.1x + 0.9x = 1x 1 + 1x = 26 Solving 1 + 1x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = 26 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 26 + -1 1x = 26 + -1 Combine like terms: 26 + -1 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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