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Simplifying 2w + 11 + x = 4w + 8 Reorder the terms: 11 + 2w + x = 4w + 8 Reorder the terms: 11 + 2w + x = 8 + 4w Solving 11 + 2w + x = 8 + 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. 11 + 2w + -4w + x = 8 + 4w + -4w Combine like terms: 2w + -4w = -2w 11 + -2w + x = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 11 + -2w + x = 8 + 0 11 + -2w + x = 8 Add '-11' to each side of the equation. 11 + -2w + -11 + x = 8 + -11 Reorder the terms: 11 + -11 + -2w + x = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -2w + x = 8 + -11 -2w + x = 8 + -11 Combine like terms: 8 + -11 = -3 -2w + x = -3 Add '-1x' to each side of the equation. -2w + x + -1x = -3 + -1x Combine like terms: x + -1x = 0 -2w + 0 = -3 + -1x -2w = -3 + -1x Divide each side by '-2'. w = 1.5 + 0.5x Simplifying w = 1.5 + 0.5x
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