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Simplifying x + -102 = -8x + 105 Reorder the terms: -102 + x = -8x + 105 Reorder the terms: -102 + x = 105 + -8x Solving -102 + x = 105 + -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. -102 + x + 8x = 105 + -8x + 8x Combine like terms: x + 8x = 9x -102 + 9x = 105 + -8x + 8x Combine like terms: -8x + 8x = 0 -102 + 9x = 105 + 0 -102 + 9x = 105 Add '102' to each side of the equation. -102 + 102 + 9x = 105 + 102 Combine like terms: -102 + 102 = 0 0 + 9x = 105 + 102 9x = 105 + 102 Combine like terms: 105 + 102 = 207 9x = 207 Divide each side by '9'. x = 23 Simplifying x = 23
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