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Simplifying (8 + 6d) + (-5 + 7x) = 0 Remove parenthesis around (8 + 6d) 8 + 6d + (-5 + 7x) = 0 Remove parenthesis around (-5 + 7x) 8 + 6d + -5 + 7x = 0 Reorder the terms: 8 + -5 + 6d + 7x = 0 Combine like terms: 8 + -5 = 3 3 + 6d + 7x = 0 Solving 3 + 6d + 7x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6d + -3 + 7x = 0 + -3 Reorder the terms: 3 + -3 + 6d + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6d + 7x = 0 + -3 6d + 7x = 0 + -3 Combine like terms: 0 + -3 = -3 6d + 7x = -3 Add '-7x' to each side of the equation. 6d + 7x + -7x = -3 + -7x Combine like terms: 7x + -7x = 0 6d + 0 = -3 + -7x 6d = -3 + -7x Divide each side by '6'. d = -0.5 + -1.166666667x Simplifying d = -0.5 + -1.166666667x
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