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Simplifying 2(w + -1) + 4 = 4(x + 1) Reorder the terms: 2(-1 + w) + 4 = 4(x + 1) (-1 * 2 + w * 2) + 4 = 4(x + 1) (-2 + 2w) + 4 = 4(x + 1) Reorder the terms: -2 + 4 + 2w = 4(x + 1) Combine like terms: -2 + 4 = 2 2 + 2w = 4(x + 1) Reorder the terms: 2 + 2w = 4(1 + x) 2 + 2w = (1 * 4 + x * 4) 2 + 2w = (4 + 4x) Solving 2 + 2w = 4 + 4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2w = 4 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 2w = 4 + -2 + 4x 2w = 4 + -2 + 4x Combine like terms: 4 + -2 = 2 2w = 2 + 4x Divide each side by '2'. w = 1 + 2x Simplifying w = 1 + 2x
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