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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 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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