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Simplifying -82 + 12x = 100 + -2x Solving -82 + 12x = 100 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -82 + 12x + 2x = 100 + -2x + 2x Combine like terms: 12x + 2x = 14x -82 + 14x = 100 + -2x + 2x Combine like terms: -2x + 2x = 0 -82 + 14x = 100 + 0 -82 + 14x = 100 Add '82' to each side of the equation. -82 + 82 + 14x = 100 + 82 Combine like terms: -82 + 82 = 0 0 + 14x = 100 + 82 14x = 100 + 82 Combine like terms: 100 + 82 = 182 14x = 182 Divide each side by '14'. x = 13 Simplifying x = 13
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