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Simplifying -17 + 5x = 3x + 33 Reorder the terms: -17 + 5x = 33 + 3x Solving -17 + 5x = 33 + 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 = 33 + 3x + -3x Combine like terms: 5x + -3x = 2x -17 + 2x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 2x = 33 + 0 -17 + 2x = 33 Add '17' to each side of the equation. -17 + 17 + 2x = 33 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 33 + 17 2x = 33 + 17 Combine like terms: 33 + 17 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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