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Simplifying 6x + -21 = 5x + 17 + 8 Reorder the terms: -21 + 6x = 5x + 17 + 8 Reorder the terms: -21 + 6x = 17 + 8 + 5x Combine like terms: 17 + 8 = 25 -21 + 6x = 25 + 5x Solving -21 + 6x = 25 + 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. -21 + 6x + -5x = 25 + 5x + -5x Combine like terms: 6x + -5x = 1x -21 + 1x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 1x = 25 + 0 -21 + 1x = 25 Add '21' to each side of the equation. -21 + 21 + 1x = 25 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 25 + 21 1x = 25 + 21 Combine like terms: 25 + 21 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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