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Simplifying 4x + 31 = x + 7 Reorder the terms: 31 + 4x = x + 7 Reorder the terms: 31 + 4x = 7 + x Solving 31 + 4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 31 + 4x + -1x = 7 + x + -1x Combine like terms: 4x + -1x = 3x 31 + 3x = 7 + x + -1x Combine like terms: x + -1x = 0 31 + 3x = 7 + 0 31 + 3x = 7 Add '-31' to each side of the equation. 31 + -31 + 3x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = 7 + -31 3x = 7 + -31 Combine like terms: 7 + -31 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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