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Simplifying 6(x + 6) = 102 Reorder the terms: 6(6 + x) = 102 (6 * 6 + x * 6) = 102 (36 + 6x) = 102 Solving 36 + 6x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6x = 102 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 102 + -36 6x = 102 + -36 Combine like terms: 102 + -36 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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