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Simplifying -27 + 8x = 5x + 42 Reorder the terms: -27 + 8x = 42 + 5x Solving -27 + 8x = 42 + 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. -27 + 8x + -5x = 42 + 5x + -5x Combine like terms: 8x + -5x = 3x -27 + 3x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 3x = 42 + 0 -27 + 3x = 42 Add '27' to each side of the equation. -27 + 27 + 3x = 42 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = 42 + 27 3x = 42 + 27 Combine like terms: 42 + 27 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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