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Simplifying (5 + 2d) + (9 + 3x) = 0 Remove parenthesis around (5 + 2d) 5 + 2d + (9 + 3x) = 0 Remove parenthesis around (9 + 3x) 5 + 2d + 9 + 3x = 0 Reorder the terms: 5 + 9 + 2d + 3x = 0 Combine like terms: 5 + 9 = 14 14 + 2d + 3x = 0 Solving 14 + 2d + 3x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2d + -14 + 3x = 0 + -14 Reorder the terms: 14 + -14 + 2d + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2d + 3x = 0 + -14 2d + 3x = 0 + -14 Combine like terms: 0 + -14 = -14 2d + 3x = -14 Add '-3x' to each side of the equation. 2d + 3x + -3x = -14 + -3x Combine like terms: 3x + -3x = 0 2d + 0 = -14 + -3x 2d = -14 + -3x Divide each side by '2'. d = -7 + -1.5x Simplifying d = -7 + -1.5x
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