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Simplifying 3x + -8 = 5x + 38 Reorder the terms: -8 + 3x = 5x + 38 Reorder the terms: -8 + 3x = 38 + 5x Solving -8 + 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. -8 + 3x + -5x = 38 + 5x + -5x Combine like terms: 3x + -5x = -2x -8 + -2x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -2x = 38 + 0 -8 + -2x = 38 Add '8' to each side of the equation. -8 + 8 + -2x = 38 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 38 + 8 -2x = 38 + 8 Combine like terms: 38 + 8 = 46 -2x = 46 Divide each side by '-2'. x = -23 Simplifying x = -23
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