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Simplifying x + -102 = 9x + 82 Reorder the terms: -102 + x = 9x + 82 Reorder the terms: -102 + x = 82 + 9x Solving -102 + x = 82 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -102 + x + -9x = 82 + 9x + -9x Combine like terms: x + -9x = -8x -102 + -8x = 82 + 9x + -9x Combine like terms: 9x + -9x = 0 -102 + -8x = 82 + 0 -102 + -8x = 82 Add '102' to each side of the equation. -102 + 102 + -8x = 82 + 102 Combine like terms: -102 + 102 = 0 0 + -8x = 82 + 102 -8x = 82 + 102 Combine like terms: 82 + 102 = 184 -8x = 184 Divide each side by '-8'. x = -23 Simplifying x = -23
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