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Simplifying 7x + 11 = 5x + 23 Reorder the terms: 11 + 7x = 5x + 23 Reorder the terms: 11 + 7x = 23 + 5x Solving 11 + 7x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 7x + -5x = 23 + 5x + -5x Combine like terms: 7x + -5x = 2x 11 + 2x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 2x = 23 + 0 11 + 2x = 23 Add '-11' to each side of the equation. 11 + -11 + 2x = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 23 + -11 2x = 23 + -11 Combine like terms: 23 + -11 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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