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Simplifying 27 = 3x + 3(2x + -6) Reorder the terms: 27 = 3x + 3(-6 + 2x) 27 = 3x + (-6 * 3 + 2x * 3) 27 = 3x + (-18 + 6x) Reorder the terms: 27 = -18 + 3x + 6x Combine like terms: 3x + 6x = 9x 27 = -18 + 9x Solving 27 = -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 + -9x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -9x = -18 + 0 27 + -9x = -18 Add '-27' to each side of the equation. 27 + -27 + -9x = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = -18 + -27 -9x = -18 + -27 Combine like terms: -18 + -27 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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