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Simplifying 16 + -2x + 6 = 38 + -5x + 8 Reorder the terms: 16 + 6 + -2x = 38 + -5x + 8 Combine like terms: 16 + 6 = 22 22 + -2x = 38 + -5x + 8 Reorder the terms: 22 + -2x = 38 + 8 + -5x Combine like terms: 38 + 8 = 46 22 + -2x = 46 + -5x Solving 22 + -2x = 46 + -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. 22 + -2x + 5x = 46 + -5x + 5x Combine like terms: -2x + 5x = 3x 22 + 3x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 22 + 3x = 46 + 0 22 + 3x = 46 Add '-22' to each side of the equation. 22 + -22 + 3x = 46 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 46 + -22 3x = 46 + -22 Combine like terms: 46 + -22 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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