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Simplifying 3x + -17 = 38 + -2x Reorder the terms: -17 + 3x = 38 + -2x Solving -17 + 3x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -17 + 3x + 2x = 38 + -2x + 2x Combine like terms: 3x + 2x = 5x -17 + 5x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 5x = 38 + 0 -17 + 5x = 38 Add '17' to each side of the equation. -17 + 17 + 5x = 38 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 38 + 17 5x = 38 + 17 Combine like terms: 38 + 17 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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