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Simplifying 6[2x + 1] = 78 Reorder the terms: 6[1 + 2x] = 78 [1 * 6 + 2x * 6] = 78 [6 + 12x] = 78 Solving 6 + 12x = 78 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 = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 78 + -6 12x = 78 + -6 Combine like terms: 78 + -6 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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