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Simplifying 3w + -2(2x + -3w) + 5x = 0 Reorder the terms: 3w + -2(-3w + 2x) + 5x = 0 3w + (-3w * -2 + 2x * -2) + 5x = 0 3w + (6w + -4x) + 5x = 0 Combine like terms: 3w + 6w = 9w 9w + -4x + 5x = 0 Combine like terms: -4x + 5x = 1x 9w + 1x = 0 Solving 9w + 1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. 9w + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 9w + 0 = 0 + -1x 9w = 0 + -1x Remove the zero: 9w = -1x Divide each side by '9'. w = -0.1111111111x Simplifying w = -0.1111111111x
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