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Simplifying 5w + -2(3x + -5w) + -5x = 0 Reorder the terms: 5w + -2(-5w + 3x) + -5x = 0 5w + (-5w * -2 + 3x * -2) + -5x = 0 5w + (10w + -6x) + -5x = 0 Combine like terms: 5w + 10w = 15w 15w + -6x + -5x = 0 Combine like terms: -6x + -5x = -11x 15w + -11x = 0 Solving 15w + -11x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11x' to each side of the equation. 15w + -11x + 11x = 0 + 11x Combine like terms: -11x + 11x = 0 15w + 0 = 0 + 11x 15w = 0 + 11x Remove the zero: 15w = 11x Divide each side by '15'. w = 0.7333333333x Simplifying w = 0.7333333333x
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