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Simplifying 6w + -7x = 2w + 8x Solving 6w + -7x = 2w + 8x 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. 6w + -2w + -7x = 2w + -2w + 8x Combine like terms: 6w + -2w = 4w 4w + -7x = 2w + -2w + 8x Combine like terms: 2w + -2w = 0 4w + -7x = 0 + 8x 4w + -7x = 8x Add '7x' to each side of the equation. 4w + -7x + 7x = 8x + 7x Combine like terms: -7x + 7x = 0 4w + 0 = 8x + 7x 4w = 8x + 7x Combine like terms: 8x + 7x = 15x 4w = 15x Divide each side by '4'. w = 3.75x Simplifying w = 3.75x
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