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Simplifying 11w + 2(w + 1) = 5x + -6 Reorder the terms: 11w + 2(1 + w) = 5x + -6 11w + (1 * 2 + w * 2) = 5x + -6 11w + (2 + 2w) = 5x + -6 Reorder the terms: 2 + 11w + 2w = 5x + -6 Combine like terms: 11w + 2w = 13w 2 + 13w = 5x + -6 Reorder the terms: 2 + 13w = -6 + 5x Solving 2 + 13w = -6 + 5x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13w = -6 + -2 + 5x Combine like terms: 2 + -2 = 0 0 + 13w = -6 + -2 + 5x 13w = -6 + -2 + 5x Combine like terms: -6 + -2 = -8 13w = -8 + 5x Divide each side by '13'. w = -0.6153846154 + 0.3846153846x Simplifying w = -0.6153846154 + 0.3846153846x
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