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Simplifying 2x + 7(w + -2x) + -3w = 0 2x + (w * 7 + -2x * 7) + -3w = 0 2x + (7w + -14x) + -3w = 0 Reorder the terms: 7w + -3w + 2x + -14x = 0 Combine like terms: 7w + -3w = 4w 4w + 2x + -14x = 0 Combine like terms: 2x + -14x = -12x 4w + -12x = 0 Solving 4w + -12x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12x' to each side of the equation. 4w + -12x + 12x = 0 + 12x Combine like terms: -12x + 12x = 0 4w + 0 = 0 + 12x 4w = 0 + 12x Remove the zero: 4w = 12x Divide each side by '4'. w = 3x Simplifying w = 3x
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