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Simplifying 2x + 5 + -8w = 7 + -4w Reorder the terms: 5 + -8w + 2x = 7 + -4w Solving 5 + -8w + 2x = 7 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 5 + -8w + 4w + 2x = 7 + -4w + 4w Combine like terms: -8w + 4w = -4w 5 + -4w + 2x = 7 + -4w + 4w Combine like terms: -4w + 4w = 0 5 + -4w + 2x = 7 + 0 5 + -4w + 2x = 7 Add '-5' to each side of the equation. 5 + -4w + -5 + 2x = 7 + -5 Reorder the terms: 5 + -5 + -4w + 2x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -4w + 2x = 7 + -5 -4w + 2x = 7 + -5 Combine like terms: 7 + -5 = 2 -4w + 2x = 2 Add '-2x' to each side of the equation. -4w + 2x + -2x = 2 + -2x Combine like terms: 2x + -2x = 0 -4w + 0 = 2 + -2x -4w = 2 + -2x Divide each side by '-4'. w = -0.5 + 0.5x Simplifying w = -0.5 + 0.5x
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