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Simplifying 5x + 81 = 2x + 105 Reorder the terms: 81 + 5x = 2x + 105 Reorder the terms: 81 + 5x = 105 + 2x Solving 81 + 5x = 105 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 81 + 5x + -2x = 105 + 2x + -2x Combine like terms: 5x + -2x = 3x 81 + 3x = 105 + 2x + -2x Combine like terms: 2x + -2x = 0 81 + 3x = 105 + 0 81 + 3x = 105 Add '-81' to each side of the equation. 81 + -81 + 3x = 105 + -81 Combine like terms: 81 + -81 = 0 0 + 3x = 105 + -81 3x = 105 + -81 Combine like terms: 105 + -81 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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