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Simplifying -27 = 6x + 3(2x + 11) Reorder the terms: -27 = 6x + 3(11 + 2x) -27 = 6x + (11 * 3 + 2x * 3) -27 = 6x + (33 + 6x) Reorder the terms: -27 = 33 + 6x + 6x Combine like terms: 6x + 6x = 12x -27 = 33 + 12x Solving -27 = 33 + 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 + -12x = 33 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 + -12x = 33 + 0 -27 + -12x = 33 Add '27' to each side of the equation. -27 + 27 + -12x = 33 + 27 Combine like terms: -27 + 27 = 0 0 + -12x = 33 + 27 -12x = 33 + 27 Combine like terms: 33 + 27 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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