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Simplifying -82 + 12x = 6x + 44 Reorder the terms: -82 + 12x = 44 + 6x Solving -82 + 12x = 44 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -82 + 12x + -6x = 44 + 6x + -6x Combine like terms: 12x + -6x = 6x -82 + 6x = 44 + 6x + -6x Combine like terms: 6x + -6x = 0 -82 + 6x = 44 + 0 -82 + 6x = 44 Add '82' to each side of the equation. -82 + 82 + 6x = 44 + 82 Combine like terms: -82 + 82 = 0 0 + 6x = 44 + 82 6x = 44 + 82 Combine like terms: 44 + 82 = 126 6x = 126 Divide each side by '6'. x = 21 Simplifying x = 21
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