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Simplifying 6x + 7(11 + 3x) = 466 6x + (11 * 7 + 3x * 7) = 466 6x + (77 + 21x) = 466 Reorder the terms: 77 + 6x + 21x = 466 Combine like terms: 6x + 21x = 27x 77 + 27x = 466 Solving 77 + 27x = 466 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 27x = 466 + -77 Combine like terms: 77 + -77 = 0 0 + 27x = 466 + -77 27x = 466 + -77 Combine like terms: 466 + -77 = 389 27x = 389 Divide each side by '27'. x = 14.40740741 Simplifying x = 14.40740741
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