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Simplifying (2w + 3) * 2 + 2x = 42 Reorder the terms: (3 + 2w) * 2 + 2x = 42 Reorder the terms for easier multiplication: 2(3 + 2w) + 2x = 42 (3 * 2 + 2w * 2) + 2x = 42 (6 + 4w) + 2x = 42 Solving 6 + 4w + 2x = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4w + -6 + 2x = 42 + -6 Reorder the terms: 6 + -6 + 4w + 2x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 4w + 2x = 42 + -6 4w + 2x = 42 + -6 Combine like terms: 42 + -6 = 36 4w + 2x = 36 Add '-2x' to each side of the equation. 4w + 2x + -2x = 36 + -2x Combine like terms: 2x + -2x = 0 4w + 0 = 36 + -2x 4w = 36 + -2x Divide each side by '4'. w = 9 + -0.5x Simplifying w = 9 + -0.5x
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