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Simplifying -78 + -10x = 9x + 17 Reorder the terms: -78 + -10x = 17 + 9x Solving -78 + -10x = 17 + 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. -78 + -10x + -9x = 17 + 9x + -9x Combine like terms: -10x + -9x = -19x -78 + -19x = 17 + 9x + -9x Combine like terms: 9x + -9x = 0 -78 + -19x = 17 + 0 -78 + -19x = 17 Add '78' to each side of the equation. -78 + 78 + -19x = 17 + 78 Combine like terms: -78 + 78 = 0 0 + -19x = 17 + 78 -19x = 17 + 78 Combine like terms: 17 + 78 = 95 -19x = 95 Divide each side by '-19'. x = -5 Simplifying x = -5
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