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Simplifying 7x + 31 = 3x + 7 Reorder the terms: 31 + 7x = 3x + 7 Reorder the terms: 31 + 7x = 7 + 3x Solving 31 + 7x = 7 + 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. 31 + 7x + -3x = 7 + 3x + -3x Combine like terms: 7x + -3x = 4x 31 + 4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 31 + 4x = 7 + 0 31 + 4x = 7 Add '-31' to each side of the equation. 31 + -31 + 4x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 7 + -31 4x = 7 + -31 Combine like terms: 7 + -31 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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