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Simplifying 9w + -5x = 2w + 7x Solving 9w + -5x = 2w + 7x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 9w + -2w + -5x = 2w + -2w + 7x Combine like terms: 9w + -2w = 7w 7w + -5x = 2w + -2w + 7x Combine like terms: 2w + -2w = 0 7w + -5x = 0 + 7x 7w + -5x = 7x Add '5x' to each side of the equation. 7w + -5x + 5x = 7x + 5x Combine like terms: -5x + 5x = 0 7w + 0 = 7x + 5x 7w = 7x + 5x Combine like terms: 7x + 5x = 12x 7w = 12x Divide each side by '7'. w = 1.714285714x Simplifying w = 1.714285714x
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