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Simplifying 7(6x + 7) = 511 Reorder the terms: 7(7 + 6x) = 511 (7 * 7 + 6x * 7) = 511 (49 + 42x) = 511 Solving 49 + 42x = 511 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 42x = 511 + -49 Combine like terms: 49 + -49 = 0 0 + 42x = 511 + -49 42x = 511 + -49 Combine like terms: 511 + -49 = 462 42x = 462 Divide each side by '42'. x = 11 Simplifying x = 11
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