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Simplifying 6x + 2(x + 3) = 102 Reorder the terms: 6x + 2(3 + x) = 102 6x + (3 * 2 + x * 2) = 102 6x + (6 + 2x) = 102 Reorder the terms: 6 + 6x + 2x = 102 Combine like terms: 6x + 2x = 8x 6 + 8x = 102 Solving 6 + 8x = 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 + 8x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 102 + -6 8x = 102 + -6 Combine like terms: 102 + -6 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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