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Simplifying 3(w + 7) + -5w = x + 12 Reorder the terms: 3(7 + w) + -5w = x + 12 (7 * 3 + w * 3) + -5w = x + 12 (21 + 3w) + -5w = x + 12 Combine like terms: 3w + -5w = -2w 21 + -2w = x + 12 Reorder the terms: 21 + -2w = 12 + x Solving 21 + -2w = 12 + x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2w = 12 + -21 + x Combine like terms: 21 + -21 = 0 0 + -2w = 12 + -21 + x -2w = 12 + -21 + x Combine like terms: 12 + -21 = -9 -2w = -9 + x Divide each side by '-2'. w = 4.5 + -0.5x Simplifying w = 4.5 + -0.5x
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