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Simplifying 7(1 + 6x) = 511 (1 * 7 + 6x * 7) = 511 (7 + 42x) = 511 Solving 7 + 42x = 511 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 42x = 511 + -7 Combine like terms: 7 + -7 = 0 0 + 42x = 511 + -7 42x = 511 + -7 Combine like terms: 511 + -7 = 504 42x = 504 Divide each side by '42'. x = 12 Simplifying x = 12
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