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Simplifying 3(2x + 4) + 12 = 84 Reorder the terms: 3(4 + 2x) + 12 = 84 (4 * 3 + 2x * 3) + 12 = 84 (12 + 6x) + 12 = 84 Reorder the terms: 12 + 12 + 6x = 84 Combine like terms: 12 + 12 = 24 24 + 6x = 84 Solving 24 + 6x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6x = 84 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 84 + -24 6x = 84 + -24 Combine like terms: 84 + -24 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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