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Simplifying 7d + -1d + -2x + -5x + -10 = 0 Reorder the terms: -10 + 7d + -1d + -2x + -5x = 0 Combine like terms: 7d + -1d = 6d -10 + 6d + -2x + -5x = 0 Combine like terms: -2x + -5x = -7x -10 + 6d + -7x = 0 Solving -10 + 6d + -7x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6d + 10 + -7x = 0 + 10 Reorder the terms: -10 + 10 + 6d + -7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6d + -7x = 0 + 10 6d + -7x = 0 + 10 Combine like terms: 0 + 10 = 10 6d + -7x = 10 Add '7x' to each side of the equation. 6d + -7x + 7x = 10 + 7x Combine like terms: -7x + 7x = 0 6d + 0 = 10 + 7x 6d = 10 + 7x Divide each side by '6'. d = 1.666666667 + 1.166666667x Simplifying d = 1.666666667 + 1.166666667x
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