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