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Simplifying 12x + 5w + -1x + -1w + 3x = 0 Reorder the terms: 5w + -1w + 12x + -1x + 3x = 0 Combine like terms: 5w + -1w = 4w 4w + 12x + -1x + 3x = 0 Combine like terms: 12x + -1x = 11x 4w + 11x + 3x = 0 Combine like terms: 11x + 3x = 14x 4w + 14x = 0 Solving 4w + 14x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 4w + 14x + -14x = 0 + -14x Combine like terms: 14x + -14x = 0 4w + 0 = 0 + -14x 4w = 0 + -14x Remove the zero: 4w = -14x Divide each side by '4'. w = -3.5x Simplifying w = -3.5x
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