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Simplifying 2x + -2 = 38 + -3x Reorder the terms: -2 + 2x = 38 + -3x Solving -2 + 2x = 38 + -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. -2 + 2x + 3x = 38 + -3x + 3x Combine like terms: 2x + 3x = 5x -2 + 5x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 5x = 38 + 0 -2 + 5x = 38 Add '2' to each side of the equation. -2 + 2 + 5x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 38 + 2 5x = 38 + 2 Combine like terms: 38 + 2 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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