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Simplifying 7x + 17 = 5x + 9 Reorder the terms: 17 + 7x = 5x + 9 Reorder the terms: 17 + 7x = 9 + 5x Solving 17 + 7x = 9 + 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 = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x 17 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 2x = 9 + 0 17 + 2x = 9 Add '-17' to each side of the equation. 17 + -17 + 2x = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 9 + -17 2x = 9 + -17 Combine like terms: 9 + -17 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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