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Simplifying 2(3 + 6x) = 102 (3 * 2 + 6x * 2) = 102 (6 + 12x) = 102 Solving 6 + 12x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 102 + -6 12x = 102 + -6 Combine like terms: 102 + -6 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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