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Simplifying (7x + -1) = (5x + 1) Reorder the terms: (-1 + 7x) = (5x + 1) Remove parenthesis around (-1 + 7x) -1 + 7x = (5x + 1) Reorder the terms: -1 + 7x = (1 + 5x) Remove parenthesis around (1 + 5x) -1 + 7x = 1 + 5x Solving -1 + 7x = 1 + 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 = 1 + 5x + -5x Combine like terms: 7x + -5x = 2x -1 + 2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 2x = 1 + 0 -1 + 2x = 1 Add '1' to each side of the equation. -1 + 1 + 2x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 1 + 1 2x = 1 + 1 Combine like terms: 1 + 1 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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