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Simplifying 7x + -17 + 5x = 23 + 9x + 8 Reorder the terms: -17 + 7x + 5x = 23 + 9x + 8 Combine like terms: 7x + 5x = 12x -17 + 12x = 23 + 9x + 8 Reorder the terms: -17 + 12x = 23 + 8 + 9x Combine like terms: 23 + 8 = 31 -17 + 12x = 31 + 9x Solving -17 + 12x = 31 + 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 + 12x + -9x = 31 + 9x + -9x Combine like terms: 12x + -9x = 3x -17 + 3x = 31 + 9x + -9x Combine like terms: 9x + -9x = 0 -17 + 3x = 31 + 0 -17 + 3x = 31 Add '17' to each side of the equation. -17 + 17 + 3x = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 31 + 17 3x = 31 + 17 Combine like terms: 31 + 17 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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