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Simplifying 5x + 2(11 + -4w) = 82 + x 5x + (11 * 2 + -4w * 2) = 82 + x 5x + (22 + -8w) = 82 + x Reorder the terms: 22 + -8w + 5x = 82 + x Solving 22 + -8w + 5x = 82 + x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -8w + -22 + 5x = 82 + -22 + x Reorder the terms: 22 + -22 + -8w + 5x = 82 + -22 + x Combine like terms: 22 + -22 = 0 0 + -8w + 5x = 82 + -22 + x -8w + 5x = 82 + -22 + x Combine like terms: 82 + -22 = 60 -8w + 5x = 60 + x Add '-5x' to each side of the equation. -8w + 5x + -5x = 60 + x + -5x Combine like terms: 5x + -5x = 0 -8w + 0 = 60 + x + -5x -8w = 60 + x + -5x Combine like terms: x + -5x = -4x -8w = 60 + -4x Divide each side by '-8'. w = -7.5 + 0.5x Simplifying w = -7.5 + 0.5x
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