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Simplifying 6(2x + 6) = 84 Reorder the terms: 6(6 + 2x) = 84 (6 * 6 + 2x * 6) = 84 (36 + 12x) = 84 Solving 36 + 12x = 84 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 + 12x = 84 + -36 Combine like terms: 36 + -36 = 0 0 + 12x = 84 + -36 12x = 84 + -36 Combine like terms: 84 + -36 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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