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Simplifying -38 + 8x = 5x + 43 Reorder the terms: -38 + 8x = 43 + 5x Solving -38 + 8x = 43 + 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. -38 + 8x + -5x = 43 + 5x + -5x Combine like terms: 8x + -5x = 3x -38 + 3x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + 3x = 43 + 0 -38 + 3x = 43 Add '38' to each side of the equation. -38 + 38 + 3x = 43 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = 43 + 38 3x = 43 + 38 Combine like terms: 43 + 38 = 81 3x = 81 Divide each side by '3'. x = 27 Simplifying x = 27
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