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Simplifying 6(7x + 1) = 384 Reorder the terms: 6(1 + 7x) = 384 (1 * 6 + 7x * 6) = 384 (6 + 42x) = 384 Solving 6 + 42x = 384 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 + 42x = 384 + -6 Combine like terms: 6 + -6 = 0 0 + 42x = 384 + -6 42x = 384 + -6 Combine like terms: 384 + -6 = 378 42x = 378 Divide each side by '42'. x = 9 Simplifying x = 9
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