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Simplifying 6x + 31 = 4x + 49 Reorder the terms: 31 + 6x = 4x + 49 Reorder the terms: 31 + 6x = 49 + 4x Solving 31 + 6x = 49 + 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 + 6x + -4x = 49 + 4x + -4x Combine like terms: 6x + -4x = 2x 31 + 2x = 49 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + 2x = 49 + 0 31 + 2x = 49 Add '-31' to each side of the equation. 31 + -31 + 2x = 49 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 49 + -31 2x = 49 + -31 Combine like terms: 49 + -31 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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