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Simplifying x + 4x + -2w + 3x + 7w = 0 Reorder the terms: -2w + 7w + x + 4x + 3x = 0 Combine like terms: -2w + 7w = 5w 5w + x + 4x + 3x = 0 Combine like terms: x + 4x = 5x 5w + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x 5w + 8x = 0 Solving 5w + 8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. 5w + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 5w + 0 = 0 + -8x 5w = 0 + -8x Remove the zero: 5w = -8x Divide each side by '5'. w = -1.6x Simplifying w = -1.6x
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