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Simplifying 9x + 27 = 9(x + 2) * 9 Reorder the terms: 27 + 9x = 9(x + 2) * 9 Reorder the terms: 27 + 9x = 9(2 + x) * 9 Reorder the terms for easier multiplication: 27 + 9x = 9 * 9(2 + x) Multiply 9 * 9 27 + 9x = 81(2 + x) 27 + 9x = (2 * 81 + x * 81) 27 + 9x = (162 + 81x) Solving 27 + 9x = 162 + 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 + 9x + -81x = 162 + 81x + -81x Combine like terms: 9x + -81x = -72x 27 + -72x = 162 + 81x + -81x Combine like terms: 81x + -81x = 0 27 + -72x = 162 + 0 27 + -72x = 162 Add '-27' to each side of the equation. 27 + -27 + -72x = 162 + -27 Combine like terms: 27 + -27 = 0 0 + -72x = 162 + -27 -72x = 162 + -27 Combine like terms: 162 + -27 = 135 -72x = 135 Divide each side by '-72'. x = -1.875 Simplifying x = -1.875
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