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Simplifying 2x + 81 = 8x + 45 Reorder the terms: 81 + 2x = 8x + 45 Reorder the terms: 81 + 2x = 45 + 8x Solving 81 + 2x = 45 + 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 = 45 + 8x + -8x Combine like terms: 2x + -8x = -6x 81 + -6x = 45 + 8x + -8x Combine like terms: 8x + -8x = 0 81 + -6x = 45 + 0 81 + -6x = 45 Add '-81' to each side of the equation. 81 + -81 + -6x = 45 + -81 Combine like terms: 81 + -81 = 0 0 + -6x = 45 + -81 -6x = 45 + -81 Combine like terms: 45 + -81 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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