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Simplifying 7 + 8w + -4x + -12 + -7x = 0 Reorder the terms: 7 + -12 + 8w + -4x + -7x = 0 Combine like terms: 7 + -12 = -5 -5 + 8w + -4x + -7x = 0 Combine like terms: -4x + -7x = -11x -5 + 8w + -11x = 0 Solving -5 + 8w + -11x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 8w + 5 + -11x = 0 + 5 Reorder the terms: -5 + 5 + 8w + -11x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8w + -11x = 0 + 5 8w + -11x = 0 + 5 Combine like terms: 0 + 5 = 5 8w + -11x = 5 Add '11x' to each side of the equation. 8w + -11x + 11x = 5 + 11x Combine like terms: -11x + 11x = 0 8w + 0 = 5 + 11x 8w = 5 + 11x Divide each side by '8'. w = 0.625 + 1.375x Simplifying w = 0.625 + 1.375x
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