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Simplifying 3x + -3 + 2x + -2 = 17 + 2 + 3x Reorder the terms: -3 + -2 + 3x + 2x = 17 + 2 + 3x Combine like terms: -3 + -2 = -5 -5 + 3x + 2x = 17 + 2 + 3x Combine like terms: 3x + 2x = 5x -5 + 5x = 17 + 2 + 3x Combine like terms: 17 + 2 = 19 -5 + 5x = 19 + 3x Solving -5 + 5x = 19 + 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. -5 + 5x + -3x = 19 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 19 + 0 -5 + 2x = 19 Add '5' to each side of the equation. -5 + 5 + 2x = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 19 + 5 2x = 19 + 5 Combine like terms: 19 + 5 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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