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Simplifying 2x + 7(w + -2x) + -3 = 0 2x + (w * 7 + -2x * 7) + -3 = 0 2x + (7w + -14x) + -3 = 0 Reorder the terms: -3 + 7w + 2x + -14x = 0 Combine like terms: 2x + -14x = -12x -3 + 7w + -12x = 0 Solving -3 + 7w + -12x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 7w + 3 + -12x = 0 + 3 Reorder the terms: -3 + 3 + 7w + -12x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7w + -12x = 0 + 3 7w + -12x = 0 + 3 Combine like terms: 0 + 3 = 3 7w + -12x = 3 Add '12x' to each side of the equation. 7w + -12x + 12x = 3 + 12x Combine like terms: -12x + 12x = 0 7w + 0 = 3 + 12x 7w = 3 + 12x Divide each side by '7'. w = 0.4285714286 + 1.714285714x Simplifying w = 0.4285714286 + 1.714285714x
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