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Simplifying 5x + -82 = 8x + 17 Reorder the terms: -82 + 5x = 8x + 17 Reorder the terms: -82 + 5x = 17 + 8x Solving -82 + 5x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -82 + 5x + -8x = 17 + 8x + -8x Combine like terms: 5x + -8x = -3x -82 + -3x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -82 + -3x = 17 + 0 -82 + -3x = 17 Add '82' to each side of the equation. -82 + 82 + -3x = 17 + 82 Combine like terms: -82 + 82 = 0 0 + -3x = 17 + 82 -3x = 17 + 82 Combine like terms: 17 + 82 = 99 -3x = 99 Divide each side by '-3'. x = -33 Simplifying x = -33
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