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Simplifying x + 2w + 3x + 4x + 5 = 75 Reorder the terms: 5 + 2w + x + 3x + 4x = 75 Combine like terms: x + 3x = 4x 5 + 2w + 4x + 4x = 75 Combine like terms: 4x + 4x = 8x 5 + 2w + 8x = 75 Solving 5 + 2w + 8x = 75 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2w + -5 + 8x = 75 + -5 Reorder the terms: 5 + -5 + 2w + 8x = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 2w + 8x = 75 + -5 2w + 8x = 75 + -5 Combine like terms: 75 + -5 = 70 2w + 8x = 70 Add '-8x' to each side of the equation. 2w + 8x + -8x = 70 + -8x Combine like terms: 8x + -8x = 0 2w + 0 = 70 + -8x 2w = 70 + -8x Divide each side by '2'. w = 35 + -4x Simplifying w = 35 + -4x
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