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Simplifying 5w + -2(x + -7w) + 3x = 0 Reorder the terms: 5w + -2(-7w + x) + 3x = 0 5w + (-7w * -2 + x * -2) + 3x = 0 5w + (14w + -2x) + 3x = 0 Combine like terms: 5w + 14w = 19w 19w + -2x + 3x = 0 Combine like terms: -2x + 3x = 1x 19w + 1x = 0 Solving 19w + 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. 19w + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 19w + 0 = 0 + -1x 19w = 0 + -1x Remove the zero: 19w = -1x Divide each side by '19'. w = -0.05263157895x Simplifying w = -0.05263157895x
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