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Simplifying -6x + -27 = 3(3x + 6) Reorder the terms: -27 + -6x = 3(3x + 6) Reorder the terms: -27 + -6x = 3(6 + 3x) -27 + -6x = (6 * 3 + 3x * 3) -27 + -6x = (18 + 9x) Solving -27 + -6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -27 + -6x + -9x = 18 + 9x + -9x Combine like terms: -6x + -9x = -15x -27 + -15x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -27 + -15x = 18 + 0 -27 + -15x = 18 Add '27' to each side of the equation. -27 + 27 + -15x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + -15x = 18 + 27 -15x = 18 + 27 Combine like terms: 18 + 27 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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