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Simplifying 6(2x + 7) = 78 Reorder the terms: 6(7 + 2x) = 78 (7 * 6 + 2x * 6) = 78 (42 + 12x) = 78 Solving 42 + 12x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12x = 78 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = 78 + -42 12x = 78 + -42 Combine like terms: 78 + -42 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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