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Simplifying 6x + 27 = 3x + 54 Reorder the terms: 27 + 6x = 3x + 54 Reorder the terms: 27 + 6x = 54 + 3x Solving 27 + 6x = 54 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 6x + -3x = 54 + 3x + -3x Combine like terms: 6x + -3x = 3x 27 + 3x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 3x = 54 + 0 27 + 3x = 54 Add '-27' to each side of the equation. 27 + -27 + 3x = 54 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 54 + -27 3x = 54 + -27 Combine like terms: 54 + -27 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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