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Simplifying -2x + x(w + 5) = 5 + 2x Reorder the terms: -2x + x(5 + w) = 5 + 2x -2x + (5 * x + w * x) = 5 + 2x Reorder the terms: -2x + (wx + 5x) = 5 + 2x -2x + (wx + 5x) = 5 + 2x Reorder the terms: wx + -2x + 5x = 5 + 2x Combine like terms: -2x + 5x = 3x wx + 3x = 5 + 2x Solving wx + 3x = 5 + 2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. wx + 3x + -3x = 5 + 2x + -3x Combine like terms: 3x + -3x = 0 wx + 0 = 5 + 2x + -3x wx = 5 + 2x + -3x Combine like terms: 2x + -3x = -1x wx = 5 + -1x Divide each side by 'x'. w = 5x-1 + -1 Simplifying w = 5x-1 + -1 Reorder the terms: w = -1 + 5x-1
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