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Simplifying (3 + 2x) + 2w = 22 Remove parenthesis around (3 + 2x) 3 + 2x + 2w = 22 Reorder the terms: 3 + 2w + 2x = 22 Solving 3 + 2w + 2x = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2w + -3 + 2x = 22 + -3 Reorder the terms: 3 + -3 + 2w + 2x = 22 + -3 Combine like terms: 3 + -3 = 0 0 + 2w + 2x = 22 + -3 2w + 2x = 22 + -3 Combine like terms: 22 + -3 = 19 2w + 2x = 19 Add '-2x' to each side of the equation. 2w + 2x + -2x = 19 + -2x Combine like terms: 2x + -2x = 0 2w + 0 = 19 + -2x 2w = 19 + -2x Divide each side by '2'. w = 9.5 + -1x Simplifying w = 9.5 + -1x
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