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Simplifying 3x + -17 = 31 + 2x + -5x Reorder the terms: -17 + 3x = 31 + 2x + -5x Combine like terms: 2x + -5x = -3x -17 + 3x = 31 + -3x Solving -17 + 3x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -17 + 3x + 3x = 31 + -3x + 3x Combine like terms: 3x + 3x = 6x -17 + 6x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 6x = 31 + 0 -17 + 6x = 31 Add '17' to each side of the equation. -17 + 17 + 6x = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 31 + 17 6x = 31 + 17 Combine like terms: 31 + 17 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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