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Simplifying 7x + 11 = 3x + 31 Reorder the terms: 11 + 7x = 3x + 31 Reorder the terms: 11 + 7x = 31 + 3x Solving 11 + 7x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 7x + -3x = 31 + 3x + -3x Combine like terms: 7x + -3x = 4x 11 + 4x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 4x = 31 + 0 11 + 4x = 31 Add '-11' to each side of the equation. 11 + -11 + 4x = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 31 + -11 4x = 31 + -11 Combine like terms: 31 + -11 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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