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Simplifying -1(x + w) + 3(3w + 5x) = 0 Reorder the terms: -1(w + x) + 3(3w + 5x) = 0 (w * -1 + x * -1) + 3(3w + 5x) = 0 (-1w + -1x) + 3(3w + 5x) = 0 -1w + -1x + (3w * 3 + 5x * 3) = 0 -1w + -1x + (9w + 15x) = 0 Reorder the terms: -1w + 9w + -1x + 15x = 0 Combine like terms: -1w + 9w = 8w 8w + -1x + 15x = 0 Combine like terms: -1x + 15x = 14x 8w + 14x = 0 Solving 8w + 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. 8w + 14x + -14x = 0 + -14x Combine like terms: 14x + -14x = 0 8w + 0 = 0 + -14x 8w = 0 + -14x Remove the zero: 8w = -14x Divide each side by '8'. w = -1.75x Simplifying w = -1.75x
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