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Simplifying -27x + 81 = 12x + 42 Reorder the terms: 81 + -27x = 12x + 42 Reorder the terms: 81 + -27x = 42 + 12x Solving 81 + -27x = 42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 81 + -27x + -12x = 42 + 12x + -12x Combine like terms: -27x + -12x = -39x 81 + -39x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 81 + -39x = 42 + 0 81 + -39x = 42 Add '-81' to each side of the equation. 81 + -81 + -39x = 42 + -81 Combine like terms: 81 + -81 = 0 0 + -39x = 42 + -81 -39x = 42 + -81 Combine like terms: 42 + -81 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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