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Simplifying 7x + -3d + 3 + 2x + 6 + 14d = 0 Reorder the terms: 3 + 6 + -3d + 14d + 7x + 2x = 0 Combine like terms: 3 + 6 = 9 9 + -3d + 14d + 7x + 2x = 0 Combine like terms: -3d + 14d = 11d 9 + 11d + 7x + 2x = 0 Combine like terms: 7x + 2x = 9x 9 + 11d + 9x = 0 Solving 9 + 11d + 9x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 11d + -9 + 9x = 0 + -9 Reorder the terms: 9 + -9 + 11d + 9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11d + 9x = 0 + -9 11d + 9x = 0 + -9 Combine like terms: 0 + -9 = -9 11d + 9x = -9 Add '-9x' to each side of the equation. 11d + 9x + -9x = -9 + -9x Combine like terms: 9x + -9x = 0 11d + 0 = -9 + -9x 11d = -9 + -9x Divide each side by '11'. d = -0.8181818182 + -0.8181818182x Simplifying d = -0.8181818182 + -0.8181818182x
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