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Simplifying 7x + -17 = 5x + 1 Reorder the terms: -17 + 7x = 5x + 1 Reorder the terms: -17 + 7x = 1 + 5x Solving -17 + 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. -17 + 7x + -5x = 1 + 5x + -5x Combine like terms: 7x + -5x = 2x -17 + 2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 2x = 1 + 0 -17 + 2x = 1 Add '17' to each side of the equation. -17 + 17 + 2x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 1 + 17 2x = 1 + 17 Combine like terms: 1 + 17 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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