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Simplifying 6(7x + 6) = 456 Reorder the terms: 6(6 + 7x) = 456 (6 * 6 + 7x * 6) = 456 (36 + 42x) = 456 Solving 36 + 42x = 456 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 42x = 456 + -36 Combine like terms: 36 + -36 = 0 0 + 42x = 456 + -36 42x = 456 + -36 Combine like terms: 456 + -36 = 420 42x = 420 Divide each side by '42'. x = 10 Simplifying x = 10
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