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Simplifying 5x + 17 = 3x + 7 Reorder the terms: 17 + 5x = 3x + 7 Reorder the terms: 17 + 5x = 7 + 3x Solving 17 + 5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x 17 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 2x = 7 + 0 17 + 2x = 7 Add '-17' to each side of the equation. 17 + -17 + 2x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 7 + -17 2x = 7 + -17 Combine like terms: 7 + -17 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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