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Simplifying 31 + -3x = 2 + -4x + 7 Reorder the terms: 31 + -3x = 2 + 7 + -4x Combine like terms: 2 + 7 = 9 31 + -3x = 9 + -4x Solving 31 + -3x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 31 + -3x + 4x = 9 + -4x + 4x Combine like terms: -3x + 4x = 1x 31 + 1x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 31 + 1x = 9 + 0 31 + 1x = 9 Add '-31' to each side of the equation. 31 + -31 + 1x = 9 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 9 + -31 1x = 9 + -31 Combine like terms: 9 + -31 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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