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Simplifying 2(x + 6) = 102 Reorder the terms: 2(6 + x) = 102 (6 * 2 + x * 2) = 102 (12 + 2x) = 102 Solving 12 + 2x = 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 + 2x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 102 + -12 2x = 102 + -12 Combine like terms: 102 + -12 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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