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Simplifying 5x + -17 = -7x + 31 Reorder the terms: -17 + 5x = -7x + 31 Reorder the terms: -17 + 5x = 31 + -7x Solving -17 + 5x = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -17 + 5x + 7x = 31 + -7x + 7x Combine like terms: 5x + 7x = 12x -17 + 12x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -17 + 12x = 31 + 0 -17 + 12x = 31 Add '17' to each side of the equation. -17 + 17 + 12x = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 12x = 31 + 17 12x = 31 + 17 Combine like terms: 31 + 17 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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