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Simplifying 82 + -6x = 21x + 19 Reorder the terms: 82 + -6x = 19 + 21x Solving 82 + -6x = 19 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 82 + -6x + -21x = 19 + 21x + -21x Combine like terms: -6x + -21x = -27x 82 + -27x = 19 + 21x + -21x Combine like terms: 21x + -21x = 0 82 + -27x = 19 + 0 82 + -27x = 19 Add '-82' to each side of the equation. 82 + -82 + -27x = 19 + -82 Combine like terms: 82 + -82 = 0 0 + -27x = 19 + -82 -27x = 19 + -82 Combine like terms: 19 + -82 = -63 -27x = -63 Divide each side by '-27'. x = 2.333333333 Simplifying x = 2.333333333
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