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Simplifying 3x + 5 + 2x + -1 = 3x + 17 Reorder the terms: 5 + -1 + 3x + 2x = 3x + 17 Combine like terms: 5 + -1 = 4 4 + 3x + 2x = 3x + 17 Combine like terms: 3x + 2x = 5x 4 + 5x = 3x + 17 Reorder the terms: 4 + 5x = 17 + 3x Solving 4 + 5x = 17 + 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. 4 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = 17 + 0 4 + 2x = 17 Add '-4' to each side of the equation. 4 + -4 + 2x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 17 + -4 2x = 17 + -4 Combine like terms: 17 + -4 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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