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Simplifying 5x + -17 = 14x + -82 Reorder the terms: -17 + 5x = 14x + -82 Reorder the terms: -17 + 5x = -82 + 14x Solving -17 + 5x = -82 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -17 + 5x + -14x = -82 + 14x + -14x Combine like terms: 5x + -14x = -9x -17 + -9x = -82 + 14x + -14x Combine like terms: 14x + -14x = 0 -17 + -9x = -82 + 0 -17 + -9x = -82 Add '17' to each side of the equation. -17 + 17 + -9x = -82 + 17 Combine like terms: -17 + 17 = 0 0 + -9x = -82 + 17 -9x = -82 + 17 Combine like terms: -82 + 17 = -65 -9x = -65 Divide each side by '-9'. x = 7.222222222 Simplifying x = 7.222222222
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