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Simplifying 0.9(x + 80) + 0.1x = 97 Reorder the terms: 0.9(80 + x) + 0.1x = 97 (80 * 0.9 + x * 0.9) + 0.1x = 97 (72 + 0.9x) + 0.1x = 97 Combine like terms: 0.9x + 0.1x = 1x 72 + 1x = 97 Solving 72 + 1x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 1x = 97 + -72 Combine like terms: 72 + -72 = 0 0 + 1x = 97 + -72 1x = 97 + -72 Combine like terms: 97 + -72 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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