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Simplifying 9(x + 2) = 81(x + 1) Reorder the terms: 9(2 + x) = 81(x + 1) (2 * 9 + x * 9) = 81(x + 1) (18 + 9x) = 81(x + 1) Reorder the terms: 18 + 9x = 81(1 + x) 18 + 9x = (1 * 81 + x * 81) 18 + 9x = (81 + 81x) Solving 18 + 9x = 81 + 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. 18 + 9x + -81x = 81 + 81x + -81x Combine like terms: 9x + -81x = -72x 18 + -72x = 81 + 81x + -81x Combine like terms: 81x + -81x = 0 18 + -72x = 81 + 0 18 + -72x = 81 Add '-18' to each side of the equation. 18 + -18 + -72x = 81 + -18 Combine like terms: 18 + -18 = 0 0 + -72x = 81 + -18 -72x = 81 + -18 Combine like terms: 81 + -18 = 63 -72x = 63 Divide each side by '-72'. x = -0.875 Simplifying x = -0.875
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