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Simplifying -17 + -10x = 9x + 21 Reorder the terms: -17 + -10x = 21 + 9x Solving -17 + -10x = 21 + 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. -17 + -10x + -9x = 21 + 9x + -9x Combine like terms: -10x + -9x = -19x -17 + -19x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 -17 + -19x = 21 + 0 -17 + -19x = 21 Add '17' to each side of the equation. -17 + 17 + -19x = 21 + 17 Combine like terms: -17 + 17 = 0 0 + -19x = 21 + 17 -19x = 21 + 17 Combine like terms: 21 + 17 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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