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Simplifying 5x + 4x + -17 = 85 + -8x Reorder the terms: -17 + 5x + 4x = 85 + -8x Combine like terms: 5x + 4x = 9x -17 + 9x = 85 + -8x Solving -17 + 9x = 85 + -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. -17 + 9x + 8x = 85 + -8x + 8x Combine like terms: 9x + 8x = 17x -17 + 17x = 85 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + 17x = 85 + 0 -17 + 17x = 85 Add '17' to each side of the equation. -17 + 17 + 17x = 85 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 85 + 17 17x = 85 + 17 Combine like terms: 85 + 17 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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