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Simplifying -6x + -27 = 3(1 + -4x) Reorder the terms: -27 + -6x = 3(1 + -4x) -27 + -6x = (1 * 3 + -4x * 3) -27 + -6x = (3 + -12x) Solving -27 + -6x = 3 + -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 + -6x + 12x = 3 + -12x + 12x Combine like terms: -6x + 12x = 6x -27 + 6x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 -27 + 6x = 3 + 0 -27 + 6x = 3 Add '27' to each side of the equation. -27 + 27 + 6x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 3 + 27 6x = 3 + 27 Combine like terms: 3 + 27 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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