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Simplifying 6x + -3x + -27 = 9 + 6x + -2 Reorder the terms: -27 + 6x + -3x = 9 + 6x + -2 Combine like terms: 6x + -3x = 3x -27 + 3x = 9 + 6x + -2 Reorder the terms: -27 + 3x = 9 + -2 + 6x Combine like terms: 9 + -2 = 7 -27 + 3x = 7 + 6x Solving -27 + 3x = 7 + 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 + 3x + -6x = 7 + 6x + -6x Combine like terms: 3x + -6x = -3x -27 + -3x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -3x = 7 + 0 -27 + -3x = 7 Add '27' to each side of the equation. -27 + 27 + -3x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = 7 + 27 -3x = 7 + 27 Combine like terms: 7 + 27 = 34 -3x = 34 Divide each side by '-3'. x = -11.33333333 Simplifying x = -11.33333333
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