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Simplifying 30 = 2x(1 + w) 30 = (1 * 2x + w * 2x) Reorder the terms: 30 = (2wx + 2x) 30 = (2wx + 2x) Solving 30 = 2wx + 2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2wx' to each side of the equation. 30 + -2wx = 2wx + -2wx + 2x Combine like terms: 2wx + -2wx = 0 30 + -2wx = 0 + 2x 30 + -2wx = 2x Add '-30' to each side of the equation. 30 + -30 + -2wx = -30 + 2x Combine like terms: 30 + -30 = 0 0 + -2wx = -30 + 2x -2wx = -30 + 2x Divide each side by '-2x'. w = 15x-1 + -1 Simplifying w = 15x-1 + -1 Reorder the terms: w = -1 + 15x-1
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