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Simplifying 8w + -2x = 2w + 7x Solving 8w + -2x = 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. 8w + -2w + -2x = 2w + -2w + 7x Combine like terms: 8w + -2w = 6w 6w + -2x = 2w + -2w + 7x Combine like terms: 2w + -2w = 0 6w + -2x = 0 + 7x 6w + -2x = 7x Add '2x' to each side of the equation. 6w + -2x + 2x = 7x + 2x Combine like terms: -2x + 2x = 0 6w + 0 = 7x + 2x 6w = 7x + 2x Combine like terms: 7x + 2x = 9x 6w = 9x Divide each side by '6'. w = 1.5x Simplifying w = 1.5x
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