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Simplifying -105 + -8x = 10x + 21 Reorder the terms: -105 + -8x = 21 + 10x Solving -105 + -8x = 21 + 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. -105 + -8x + -10x = 21 + 10x + -10x Combine like terms: -8x + -10x = -18x -105 + -18x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 -105 + -18x = 21 + 0 -105 + -18x = 21 Add '105' to each side of the equation. -105 + 105 + -18x = 21 + 105 Combine like terms: -105 + 105 = 0 0 + -18x = 21 + 105 -18x = 21 + 105 Combine like terms: 21 + 105 = 126 -18x = 126 Divide each side by '-18'. x = -7 Simplifying x = -7
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