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Simplifying 27x + 81 = 14x + 42 Reorder the terms: 81 + 27x = 14x + 42 Reorder the terms: 81 + 27x = 42 + 14x Solving 81 + 27x = 42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 81 + 27x + -14x = 42 + 14x + -14x Combine like terms: 27x + -14x = 13x 81 + 13x = 42 + 14x + -14x Combine like terms: 14x + -14x = 0 81 + 13x = 42 + 0 81 + 13x = 42 Add '-81' to each side of the equation. 81 + -81 + 13x = 42 + -81 Combine like terms: 81 + -81 = 0 0 + 13x = 42 + -81 13x = 42 + -81 Combine like terms: 42 + -81 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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