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Simplifying 0.9(x + 90) + 0.1x = 106 Reorder the terms: 0.9(90 + x) + 0.1x = 106 (90 * 0.9 + x * 0.9) + 0.1x = 106 (81 + 0.9x) + 0.1x = 106 Combine like terms: 0.9x + 0.1x = 1x 81 + 1x = 106 Solving 81 + 1x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 1x = 106 + -81 Combine like terms: 81 + -81 = 0 0 + 1x = 106 + -81 1x = 106 + -81 Combine like terms: 106 + -81 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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