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Simplifying 7w + -5x = 3w + 2x Solving 7w + -5x = 3w + 2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7w + -3w + -5x = 3w + -3w + 2x Combine like terms: 7w + -3w = 4w 4w + -5x = 3w + -3w + 2x Combine like terms: 3w + -3w = 0 4w + -5x = 0 + 2x 4w + -5x = 2x Add '5x' to each side of the equation. 4w + -5x + 5x = 2x + 5x Combine like terms: -5x + 5x = 0 4w + 0 = 2x + 5x 4w = 2x + 5x Combine like terms: 2x + 5x = 7x 4w = 7x Divide each side by '4'. w = 1.75x Simplifying w = 1.75x
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