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Simplifying 27x + -81 = 21x + -21 Reorder the terms: -81 + 27x = 21x + -21 Reorder the terms: -81 + 27x = -21 + 21x Solving -81 + 27x = -21 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -81 + 27x + -21x = -21 + 21x + -21x Combine like terms: 27x + -21x = 6x -81 + 6x = -21 + 21x + -21x Combine like terms: 21x + -21x = 0 -81 + 6x = -21 + 0 -81 + 6x = -21 Add '81' to each side of the equation. -81 + 81 + 6x = -21 + 81 Combine like terms: -81 + 81 = 0 0 + 6x = -21 + 81 6x = -21 + 81 Combine like terms: -21 + 81 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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