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Simplifying 6x + -21 = 5x + 17 + w Reorder the terms: -21 + 6x = 5x + 17 + w Reorder the terms: -21 + 6x = 17 + w + 5x Solving -21 + 6x = 17 + w + 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 = 17 + w + 5x + -5x Combine like terms: 6x + -5x = 1x -21 + 1x = 17 + w + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 1x = 17 + w + 0 -21 + 1x = 17 + w Add '21' to each side of the equation. -21 + 21 + 1x = 17 + 21 + w Combine like terms: -21 + 21 = 0 0 + 1x = 17 + 21 + w 1x = 17 + 21 + w Combine like terms: 17 + 21 = 38 1x = 38 + w Divide each side by '1'. x = 38 + w Simplifying x = 38 + w
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