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Simplifying 3(2x + 6) + 6 + -3x = 27 Reorder the terms: 3(6 + 2x) + 6 + -3x = 27 (6 * 3 + 2x * 3) + 6 + -3x = 27 (18 + 6x) + 6 + -3x = 27 Reorder the terms: 18 + 6 + 6x + -3x = 27 Combine like terms: 18 + 6 = 24 24 + 6x + -3x = 27 Combine like terms: 6x + -3x = 3x 24 + 3x = 27 Solving 24 + 3x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3x = 27 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 27 + -24 3x = 27 + -24 Combine like terms: 27 + -24 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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