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Simplifying 6x + 31 = 2x + 11 Reorder the terms: 31 + 6x = 2x + 11 Reorder the terms: 31 + 6x = 11 + 2x Solving 31 + 6x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + 6x + -2x = 11 + 2x + -2x Combine like terms: 6x + -2x = 4x 31 + 4x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + 4x = 11 + 0 31 + 4x = 11 Add '-31' to each side of the equation. 31 + -31 + 4x = 11 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 11 + -31 4x = 11 + -31 Combine like terms: 11 + -31 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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