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Simplifying -10x + -35 = 21 + -8x Reorder the terms: -35 + -10x = 21 + -8x Solving -35 + -10x = 21 + -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. -35 + -10x + 8x = 21 + -8x + 8x Combine like terms: -10x + 8x = -2x -35 + -2x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + -2x = 21 + 0 -35 + -2x = 21 Add '35' to each side of the equation. -35 + 35 + -2x = 21 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 21 + 35 -2x = 21 + 35 Combine like terms: 21 + 35 = 56 -2x = 56 Divide each side by '-2'. x = -28 Simplifying x = -28
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