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Simplifying 12x + -17 = 17x + -82 Reorder the terms: -17 + 12x = 17x + -82 Reorder the terms: -17 + 12x = -82 + 17x Solving -17 + 12x = -82 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -17 + 12x + -17x = -82 + 17x + -17x Combine like terms: 12x + -17x = -5x -17 + -5x = -82 + 17x + -17x Combine like terms: 17x + -17x = 0 -17 + -5x = -82 + 0 -17 + -5x = -82 Add '17' to each side of the equation. -17 + 17 + -5x = -82 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = -82 + 17 -5x = -82 + 17 Combine like terms: -82 + 17 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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