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Simplifying -27 + -9x = -3(4x + 8) Reorder the terms: -27 + -9x = -3(8 + 4x) -27 + -9x = (8 * -3 + 4x * -3) -27 + -9x = (-24 + -12x) Solving -27 + -9x = -24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -27 + -9x + 12x = -24 + -12x + 12x Combine like terms: -9x + 12x = 3x -27 + 3x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 -27 + 3x = -24 + 0 -27 + 3x = -24 Add '27' to each side of the equation. -27 + 27 + 3x = -24 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -24 + 27 3x = -24 + 27 Combine like terms: -24 + 27 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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