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Simplifying -82 + 12x = 5x + 72 Reorder the terms: -82 + 12x = 72 + 5x Solving -82 + 12x = 72 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -82 + 12x + -5x = 72 + 5x + -5x Combine like terms: 12x + -5x = 7x -82 + 7x = 72 + 5x + -5x Combine like terms: 5x + -5x = 0 -82 + 7x = 72 + 0 -82 + 7x = 72 Add '82' to each side of the equation. -82 + 82 + 7x = 72 + 82 Combine like terms: -82 + 82 = 0 0 + 7x = 72 + 82 7x = 72 + 82 Combine like terms: 72 + 82 = 154 7x = 154 Divide each side by '7'. x = 22 Simplifying x = 22
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