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Simplifying 9w + -3x = 4w + 7x Solving 9w + -3x = 4w + 7x 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. 9w + -4w + -3x = 4w + -4w + 7x Combine like terms: 9w + -4w = 5w 5w + -3x = 4w + -4w + 7x Combine like terms: 4w + -4w = 0 5w + -3x = 0 + 7x 5w + -3x = 7x Add '3x' to each side of the equation. 5w + -3x + 3x = 7x + 3x Combine like terms: -3x + 3x = 0 5w + 0 = 7x + 3x 5w = 7x + 3x Combine like terms: 7x + 3x = 10x 5w = 10x Divide each side by '5'. w = 2x Simplifying w = 2x
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