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Simplifying 8w + -2x = 4w + 7 Reorder the terms: 8w + -2x = 7 + 4w Solving 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. 8w + -4w + -2x = 7 + 4w + -4w Combine like terms: 8w + -4w = 4w 4w + -2x = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 4w + -2x = 7 + 0 4w + -2x = 7 Add '2x' to each side of the equation. 4w + -2x + 2x = 7 + 2x Combine like terms: -2x + 2x = 0 4w + 0 = 7 + 2x 4w = 7 + 2x Divide each side by '4'. w = 1.75 + 0.5x Simplifying w = 1.75 + 0.5x
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