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Simplifying 10x + 31 = 4x + 7 Reorder the terms: 31 + 10x = 4x + 7 Reorder the terms: 31 + 10x = 7 + 4x Solving 31 + 10x = 7 + 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 + 10x + -4x = 7 + 4x + -4x Combine like terms: 10x + -4x = 6x 31 + 6x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + 6x = 7 + 0 31 + 6x = 7 Add '-31' to each side of the equation. 31 + -31 + 6x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 6x = 7 + -31 6x = 7 + -31 Combine like terms: 7 + -31 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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