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Simplifying 7x + 1 = 5x + 7 Reorder the terms: 1 + 7x = 5x + 7 Reorder the terms: 1 + 7x = 7 + 5x Solving 1 + 7x = 7 + 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 = 7 + 5x + -5x Combine like terms: 7x + -5x = 2x 1 + 2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 2x = 7 + 0 1 + 2x = 7 Add '-1' to each side of the equation. 1 + -1 + 2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 7 + -1 2x = 7 + -1 Combine like terms: 7 + -1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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