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Simplifying 2x + 38 = 13 + -3x Reorder the terms: 38 + 2x = 13 + -3x Solving 38 + 2x = 13 + -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. 38 + 2x + 3x = 13 + -3x + 3x Combine like terms: 2x + 3x = 5x 38 + 5x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + 5x = 13 + 0 38 + 5x = 13 Add '-38' to each side of the equation. 38 + -38 + 5x = 13 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 13 + -38 5x = 13 + -38 Combine like terms: 13 + -38 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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