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Simplifying 27x + 9 = 3x + 30 + 3x Reorder the terms: 9 + 27x = 3x + 30 + 3x Reorder the terms: 9 + 27x = 30 + 3x + 3x Combine like terms: 3x + 3x = 6x 9 + 27x = 30 + 6x Solving 9 + 27x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 27x + -6x = 30 + 6x + -6x Combine like terms: 27x + -6x = 21x 9 + 21x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 21x = 30 + 0 9 + 21x = 30 Add '-9' to each side of the equation. 9 + -9 + 21x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 21x = 30 + -9 21x = 30 + -9 Combine like terms: 30 + -9 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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