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Simplifying 7w + -6(x + -2w) + x = 0 Reorder the terms: 7w + -6(-2w + x) + x = 0 7w + (-2w * -6 + x * -6) + x = 0 7w + (12w + -6x) + x = 0 Combine like terms: 7w + 12w = 19w 19w + -6x + x = 0 Combine like terms: -6x + x = -5x 19w + -5x = 0 Solving 19w + -5x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5x' to each side of the equation. 19w + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 19w + 0 = 0 + 5x 19w = 0 + 5x Remove the zero: 19w = 5x Divide each side by '19'. w = 0.2631578947x Simplifying w = 0.2631578947x
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