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Simplifying -6x + -27 = -1x + 8 Reorder the terms: -27 + -6x = -1x + 8 Reorder the terms: -27 + -6x = 8 + -1x Solving -27 + -6x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + -6x + x = 8 + -1x + x Combine like terms: -6x + x = -5x -27 + -5x = 8 + -1x + x Combine like terms: -1x + x = 0 -27 + -5x = 8 + 0 -27 + -5x = 8 Add '27' to each side of the equation. -27 + 27 + -5x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + -5x = 8 + 27 -5x = 8 + 27 Combine like terms: 8 + 27 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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