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Simplifying -1x + -82 = 8x + 143 Reorder the terms: -82 + -1x = 8x + 143 Reorder the terms: -82 + -1x = 143 + 8x Solving -82 + -1x = 143 + 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 + -1x + -8x = 143 + 8x + -8x Combine like terms: -1x + -8x = -9x -82 + -9x = 143 + 8x + -8x Combine like terms: 8x + -8x = 0 -82 + -9x = 143 + 0 -82 + -9x = 143 Add '82' to each side of the equation. -82 + 82 + -9x = 143 + 82 Combine like terms: -82 + 82 = 0 0 + -9x = 143 + 82 -9x = 143 + 82 Combine like terms: 143 + 82 = 225 -9x = 225 Divide each side by '-9'. x = -25 Simplifying x = -25
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