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Simplifying 6x + 3(2x + 2) = 102 Reorder the terms: 6x + 3(2 + 2x) = 102 6x + (2 * 3 + 2x * 3) = 102 6x + (6 + 6x) = 102 Reorder the terms: 6 + 6x + 6x = 102 Combine like terms: 6x + 6x = 12x 6 + 12x = 102 Solving 6 + 12x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 102 + -6 12x = 102 + -6 Combine like terms: 102 + -6 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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