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Simplifying 5w + 6 + -3x + 2w + 10 + 7x = 0 Reorder the terms: 6 + 10 + 5w + 2w + -3x + 7x = 0 Combine like terms: 6 + 10 = 16 16 + 5w + 2w + -3x + 7x = 0 Combine like terms: 5w + 2w = 7w 16 + 7w + -3x + 7x = 0 Combine like terms: -3x + 7x = 4x 16 + 7w + 4x = 0 Solving 16 + 7w + 4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 7w + -16 + 4x = 0 + -16 Reorder the terms: 16 + -16 + 7w + 4x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7w + 4x = 0 + -16 7w + 4x = 0 + -16 Combine like terms: 0 + -16 = -16 7w + 4x = -16 Add '-4x' to each side of the equation. 7w + 4x + -4x = -16 + -4x Combine like terms: 4x + -4x = 0 7w + 0 = -16 + -4x 7w = -16 + -4x Divide each side by '7'. w = -2.285714286 + -0.5714285714x Simplifying w = -2.285714286 + -0.5714285714x
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