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Simplifying 2x + 81 = 8x + 9 Reorder the terms: 81 + 2x = 8x + 9 Reorder the terms: 81 + 2x = 9 + 8x Solving 81 + 2x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 81 + 2x + -8x = 9 + 8x + -8x Combine like terms: 2x + -8x = -6x 81 + -6x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 81 + -6x = 9 + 0 81 + -6x = 9 Add '-81' to each side of the equation. 81 + -81 + -6x = 9 + -81 Combine like terms: 81 + -81 = 0 0 + -6x = 9 + -81 -6x = 9 + -81 Combine like terms: 9 + -81 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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