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Simplifying 7x + 17 = 3x + 5 Reorder the terms: 17 + 7x = 3x + 5 Reorder the terms: 17 + 7x = 5 + 3x Solving 17 + 7x = 5 + 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 + 7x + -3x = 5 + 3x + -3x Combine like terms: 7x + -3x = 4x 17 + 4x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 4x = 5 + 0 17 + 4x = 5 Add '-17' to each side of the equation. 17 + -17 + 4x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 5 + -17 4x = 5 + -17 Combine like terms: 5 + -17 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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