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Simplifying 7w + -6x = 3w + 8x Solving 7w + -6x = 3w + 8x 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 + -6x = 3w + -3w + 8x Combine like terms: 7w + -3w = 4w 4w + -6x = 3w + -3w + 8x Combine like terms: 3w + -3w = 0 4w + -6x = 0 + 8x 4w + -6x = 8x Add '6x' to each side of the equation. 4w + -6x + 6x = 8x + 6x Combine like terms: -6x + 6x = 0 4w + 0 = 8x + 6x 4w = 8x + 6x Combine like terms: 8x + 6x = 14x 4w = 14x Divide each side by '4'. w = 3.5x Simplifying w = 3.5x
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