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Simplifying 6x + 27 = 9x + -6 Reorder the terms: 27 + 6x = 9x + -6 Reorder the terms: 27 + 6x = -6 + 9x Solving 27 + 6x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 27 + 6x + -9x = -6 + 9x + -9x Combine like terms: 6x + -9x = -3x 27 + -3x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -3x = -6 + 0 27 + -3x = -6 Add '-27' to each side of the equation. 27 + -27 + -3x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = -6 + -27 -3x = -6 + -27 Combine like terms: -6 + -27 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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