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Simplifying 6(7x + 7) = 378 Reorder the terms: 6(7 + 7x) = 378 (7 * 6 + 7x * 6) = 378 (42 + 42x) = 378 Solving 42 + 42x = 378 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 + 42x = 378 + -42 Combine like terms: 42 + -42 = 0 0 + 42x = 378 + -42 42x = 378 + -42 Combine like terms: 378 + -42 = 336 42x = 336 Divide each side by '42'. x = 8 Simplifying x = 8
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