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Simplifying -102 + -8x = 10x + 24 Reorder the terms: -102 + -8x = 24 + 10x Solving -102 + -8x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -102 + -8x + -10x = 24 + 10x + -10x Combine like terms: -8x + -10x = -18x -102 + -18x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -102 + -18x = 24 + 0 -102 + -18x = 24 Add '102' to each side of the equation. -102 + 102 + -18x = 24 + 102 Combine like terms: -102 + 102 = 0 0 + -18x = 24 + 102 -18x = 24 + 102 Combine like terms: 24 + 102 = 126 -18x = 126 Divide each side by '-18'. x = -7 Simplifying x = -7
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