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Simplifying 3x + -2 = -5x + 38 Reorder the terms: -2 + 3x = -5x + 38 Reorder the terms: -2 + 3x = 38 + -5x Solving -2 + 3x = 38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + 3x + 5x = 38 + -5x + 5x Combine like terms: 3x + 5x = 8x -2 + 8x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 8x = 38 + 0 -2 + 8x = 38 Add '2' to each side of the equation. -2 + 2 + 8x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 38 + 2 8x = 38 + 2 Combine like terms: 38 + 2 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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