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Simplifying 7x + 1 = 5x + 25 Reorder the terms: 1 + 7x = 5x + 25 Reorder the terms: 1 + 7x = 25 + 5x Solving 1 + 7x = 25 + 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. 1 + 7x + -5x = 25 + 5x + -5x Combine like terms: 7x + -5x = 2x 1 + 2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 2x = 25 + 0 1 + 2x = 25 Add '-1' to each side of the equation. 1 + -1 + 2x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 25 + -1 2x = 25 + -1 Combine like terms: 25 + -1 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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