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Simplifying -27 + 3x = -6(1 + 3x) -27 + 3x = (1 * -6 + 3x * -6) -27 + 3x = (-6 + -18x) Solving -27 + 3x = -6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -27 + 3x + 18x = -6 + -18x + 18x Combine like terms: 3x + 18x = 21x -27 + 21x = -6 + -18x + 18x Combine like terms: -18x + 18x = 0 -27 + 21x = -6 + 0 -27 + 21x = -6 Add '27' to each side of the equation. -27 + 27 + 21x = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 21x = -6 + 27 21x = -6 + 27 Combine like terms: -6 + 27 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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