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Simplifying 3x + 5 + 4x = 17 + 5x Reorder the terms: 5 + 3x + 4x = 17 + 5x Combine like terms: 3x + 4x = 7x 5 + 7x = 17 + 5x Solving 5 + 7x = 17 + 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. 5 + 7x + -5x = 17 + 5x + -5x Combine like terms: 7x + -5x = 2x 5 + 2x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 2x = 17 + 0 5 + 2x = 17 Add '-5' to each side of the equation. 5 + -5 + 2x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 17 + -5 2x = 17 + -5 Combine like terms: 17 + -5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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