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Simplifying -78 + -9x = 10x + 17 Reorder the terms: -78 + -9x = 17 + 10x Solving -78 + -9x = 17 + 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. -78 + -9x + -10x = 17 + 10x + -10x Combine like terms: -9x + -10x = -19x -78 + -19x = 17 + 10x + -10x Combine like terms: 10x + -10x = 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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