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Simplifying 3x + -5 = 38 + 8 + -1x Reorder the terms: -5 + 3x = 38 + 8 + -1x Combine like terms: 38 + 8 = 46 -5 + 3x = 46 + -1x Solving -5 + 3x = 46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 3x + x = 46 + -1x + x Combine like terms: 3x + x = 4x -5 + 4x = 46 + -1x + x Combine like terms: -1x + x = 0 -5 + 4x = 46 + 0 -5 + 4x = 46 Add '5' to each side of the equation. -5 + 5 + 4x = 46 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 46 + 5 4x = 46 + 5 Combine like terms: 46 + 5 = 51 4x = 51 Divide each side by '4'. x = 12.75 Simplifying x = 12.75
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