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Simplifying -6x + -27 = -9x + 51 Reorder the terms: -27 + -6x = -9x + 51 Reorder the terms: -27 + -6x = 51 + -9x Solving -27 + -6x = 51 + -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 = 51 + -9x + 9x Combine like terms: -6x + 9x = 3x -27 + 3x = 51 + -9x + 9x Combine like terms: -9x + 9x = 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 = 78 3x = 78 Divide each side by '3'. x = 26 Simplifying x = 26
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