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Simplifying 6(2x + 3) = 102 Reorder the terms: 6(3 + 2x) = 102 (3 * 6 + 2x * 6) = 102 (18 + 12x) = 102 Solving 18 + 12x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12x = 102 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 102 + -18 12x = 102 + -18 Combine like terms: 102 + -18 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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