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Simplifying 3(x + -6) = 27 + -6x Reorder the terms: 3(-6 + x) = 27 + -6x (-6 * 3 + x * 3) = 27 + -6x (-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 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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