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Simplifying -27 = 6(3 + -6x) + 3(3 + -6x) -27 = (3 * 6 + -6x * 6) + 3(3 + -6x) -27 = (18 + -36x) + 3(3 + -6x) -27 = 18 + -36x + (3 * 3 + -6x * 3) -27 = 18 + -36x + (9 + -18x) Reorder the terms: -27 = 18 + 9 + -36x + -18x Combine like terms: 18 + 9 = 27 -27 = 27 + -36x + -18x Combine like terms: -36x + -18x = -54x -27 = 27 + -54x Solving -27 = 27 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -27 + 54x = 27 + -54x + 54x Combine like terms: -54x + 54x = 0 -27 + 54x = 27 + 0 -27 + 54x = 27 Add '27' to each side of the equation. -27 + 27 + 54x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 54x = 27 + 27 54x = 27 + 27 Combine like terms: 27 + 27 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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