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