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Simplifying -5x + 13x + -38 = 3x + -14 Reorder the terms: -38 + -5x + 13x = 3x + -14 Combine like terms: -5x + 13x = 8x -38 + 8x = 3x + -14 Reorder the terms: -38 + 8x = -14 + 3x Solving -38 + 8x = -14 + 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 + 8x + -3x = -14 + 3x + -3x Combine like terms: 8x + -3x = 5x -38 + 5x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 5x = -14 + 0 -38 + 5x = -14 Add '38' to each side of the equation. -38 + 38 + 5x = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = -14 + 38 5x = -14 + 38 Combine like terms: -14 + 38 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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