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Simplifying 4w + -6(-2x + 7w) + 7x = 0 Reorder the terms: 4w + -6(7w + -2x) + 7x = 0 4w + (7w * -6 + -2x * -6) + 7x = 0 4w + (-42w + 12x) + 7x = 0 Combine like terms: 4w + -42w = -38w -38w + 12x + 7x = 0 Combine like terms: 12x + 7x = 19x -38w + 19x = 0 Solving -38w + 19x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19x' to each side of the equation. -38w + 19x + -19x = 0 + -19x Combine like terms: 19x + -19x = 0 -38w + 0 = 0 + -19x -38w = 0 + -19x Remove the zero: -38w = -19x Divide each side by '-38'. w = 0.5x Simplifying w = 0.5x
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