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Simplifying 6(3x + 2) = 102 Reorder the terms: 6(2 + 3x) = 102 (2 * 6 + 3x * 6) = 102 (12 + 18x) = 102 Solving 12 + 18x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 102 + -12 18x = 102 + -12 Combine like terms: 102 + -12 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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