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Simplifying 31 + -4x = -7x + 46 Reorder the terms: 31 + -4x = 46 + -7x Solving 31 + -4x = 46 + -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. 31 + -4x + 7x = 46 + -7x + 7x Combine like terms: -4x + 7x = 3x 31 + 3x = 46 + -7x + 7x Combine like terms: -7x + 7x = 0 31 + 3x = 46 + 0 31 + 3x = 46 Add '-31' to each side of the equation. 31 + -31 + 3x = 46 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = 46 + -31 3x = 46 + -31 Combine like terms: 46 + -31 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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