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Simplifying 9w + 3x + -24 + -1x = -2w + 19 + -5x Reorder the terms: -24 + 9w + 3x + -1x = -2w + 19 + -5x Combine like terms: 3x + -1x = 2x -24 + 9w + 2x = -2w + 19 + -5x Reorder the terms: -24 + 9w + 2x = 19 + -2w + -5x Solving -24 + 9w + 2x = 19 + -2w + -5x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -24 + 9w + 2w + 2x = 19 + -2w + 2w + -5x Combine like terms: 9w + 2w = 11w -24 + 11w + 2x = 19 + -2w + 2w + -5x Combine like terms: -2w + 2w = 0 -24 + 11w + 2x = 19 + 0 + -5x -24 + 11w + 2x = 19 + -5x Add '24' to each side of the equation. -24 + 11w + 24 + 2x = 19 + 24 + -5x Reorder the terms: -24 + 24 + 11w + 2x = 19 + 24 + -5x Combine like terms: -24 + 24 = 0 0 + 11w + 2x = 19 + 24 + -5x 11w + 2x = 19 + 24 + -5x Combine like terms: 19 + 24 = 43 11w + 2x = 43 + -5x Add '-2x' to each side of the equation. 11w + 2x + -2x = 43 + -5x + -2x Combine like terms: 2x + -2x = 0 11w + 0 = 43 + -5x + -2x 11w = 43 + -5x + -2x Combine like terms: -5x + -2x = -7x 11w = 43 + -7x Divide each side by '11'. w = 3.909090909 + -0.6363636364x Simplifying w = 3.909090909 + -0.6363636364x
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