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Simplifying 3[9(9x + 1)] = 81x + 36 Reorder the terms: 3[9(1 + 9x)] = 81x + 36 3[(1 * 9 + 9x * 9)] = 81x + 36 3[(9 + 81x)] = 81x + 36 [9 * 3 + 81x * 3] = 81x + 36 [27 + 243x] = 81x + 36 Reorder the terms: 27 + 243x = 36 + 81x Solving 27 + 243x = 36 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. 27 + 243x + -81x = 36 + 81x + -81x Combine like terms: 243x + -81x = 162x 27 + 162x = 36 + 81x + -81x Combine like terms: 81x + -81x = 0 27 + 162x = 36 + 0 27 + 162x = 36 Add '-27' to each side of the equation. 27 + -27 + 162x = 36 + -27 Combine like terms: 27 + -27 = 0 0 + 162x = 36 + -27 162x = 36 + -27 Combine like terms: 36 + -27 = 9 162x = 9 Divide each side by '162'. x = 0.05555555556 Simplifying x = 0.05555555556
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