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Simplifying -1(-5w + x) + -4(4x + 5w) = 0 (-5w * -1 + x * -1) + -4(4x + 5w) = 0 (5w + -1x) + -4(4x + 5w) = 0 Reorder the terms: 5w + -1x + -4(5w + 4x) = 0 5w + -1x + (5w * -4 + 4x * -4) = 0 5w + -1x + (-20w + -16x) = 0 Reorder the terms: 5w + -20w + -1x + -16x = 0 Combine like terms: 5w + -20w = -15w -15w + -1x + -16x = 0 Combine like terms: -1x + -16x = -17x -15w + -17x = 0 Solving -15w + -17x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17x' to each side of the equation. -15w + -17x + 17x = 0 + 17x Combine like terms: -17x + 17x = 0 -15w + 0 = 0 + 17x -15w = 0 + 17x Remove the zero: -15w = 17x Divide each side by '-15'. w = -1.133333333x Simplifying w = -1.133333333x
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