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Simplifying -27 + -8x = -1(3x + -8) Reorder the terms: -27 + -8x = -1(-8 + 3x) -27 + -8x = (-8 * -1 + 3x * -1) -27 + -8x = (8 + -3x) Solving -27 + -8x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27 + -8x + 3x = 8 + -3x + 3x Combine like terms: -8x + 3x = -5x -27 + -5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 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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