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Simplifying 11x + 2(w + 1) = 5w + -6 Reorder the terms: 11x + 2(1 + w) = 5w + -6 11x + (1 * 2 + w * 2) = 5w + -6 11x + (2 + 2w) = 5w + -6 Reorder the terms: 2 + 2w + 11x = 5w + -6 Reorder the terms: 2 + 2w + 11x = -6 + 5w Solving 2 + 2w + 11x = -6 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 2 + 2w + -5w + 11x = -6 + 5w + -5w Combine like terms: 2w + -5w = -3w 2 + -3w + 11x = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -3w + 11x = -6 + 0 2 + -3w + 11x = -6 Add '-2' to each side of the equation. 2 + -3w + -2 + 11x = -6 + -2 Reorder the terms: 2 + -2 + -3w + 11x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -3w + 11x = -6 + -2 -3w + 11x = -6 + -2 Combine like terms: -6 + -2 = -8 -3w + 11x = -8 Add '-11x' to each side of the equation. -3w + 11x + -11x = -8 + -11x Combine like terms: 11x + -11x = 0 -3w + 0 = -8 + -11x -3w = -8 + -11x Divide each side by '-3'. w = 2.666666667 + 3.666666667x Simplifying w = 2.666666667 + 3.666666667x
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