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Simplifying 27x + 81 = 24x + 243 Reorder the terms: 81 + 27x = 24x + 243 Reorder the terms: 81 + 27x = 243 + 24x Solving 81 + 27x = 243 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 81 + 27x + -24x = 243 + 24x + -24x Combine like terms: 27x + -24x = 3x 81 + 3x = 243 + 24x + -24x Combine like terms: 24x + -24x = 0 81 + 3x = 243 + 0 81 + 3x = 243 Add '-81' to each side of the equation. 81 + -81 + 3x = 243 + -81 Combine like terms: 81 + -81 = 0 0 + 3x = 243 + -81 3x = 243 + -81 Combine like terms: 243 + -81 = 162 3x = 162 Divide each side by '3'. x = 54 Simplifying x = 54
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