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Simplifying 27 + 9x = 51 + 6x Solving 27 + 9x = 51 + 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. 27 + 9x + -6x = 51 + 6x + -6x Combine like terms: 9x + -6x = 3x 27 + 3x = 51 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 3x = 51 + 0 27 + 3x = 51 Add '-27' to each side of the equation. 27 + -27 + 3x = 51 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 51 + -27 3x = 51 + -27 Combine like terms: 51 + -27 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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