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Simplifying 0.9(x + 90) + 0.9 = 162 Reorder the terms: 0.9(90 + x) + 0.9 = 162 (90 * 0.9 + x * 0.9) + 0.9 = 162 (81 + 0.9x) + 0.9 = 162 Reorder the terms: 81 + 0.9 + 0.9x = 162 Combine like terms: 81 + 0.9 = 81.9 81.9 + 0.9x = 162 Solving 81.9 + 0.9x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81.9' to each side of the equation. 81.9 + -81.9 + 0.9x = 162 + -81.9 Combine like terms: 81.9 + -81.9 = 0.0 0.0 + 0.9x = 162 + -81.9 0.9x = 162 + -81.9 Combine like terms: 162 + -81.9 = 80.1 0.9x = 80.1 Divide each side by '0.9'. x = 89 Simplifying x = 89
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