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Simplifying 5w + -11w + -3x + -7x + w = 40 Reorder the terms: 5w + -11w + w + -3x + -7x = 40 Combine like terms: 5w + -11w = -6w -6w + w + -3x + -7x = 40 Combine like terms: -6w + w = -5w -5w + -3x + -7x = 40 Combine like terms: -3x + -7x = -10x -5w + -10x = 40 Solving -5w + -10x = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10x' to each side of the equation. -5w + -10x + 10x = 40 + 10x Combine like terms: -10x + 10x = 0 -5w + 0 = 40 + 10x -5w = 40 + 10x Divide each side by '-5'. w = -8 + -2x Simplifying w = -8 + -2x
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