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Simplifying 10x(20 + d) = 30 (20 * 10x + d * 10x) = 30 Reorder the terms: (10dx + 200x) = 30 (10dx + 200x) = 30 Solving 10dx + 200x = 30 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-200x' to each side of the equation. 10dx + 200x + -200x = 30 + -200x Combine like terms: 200x + -200x = 0 10dx + 0 = 30 + -200x 10dx = 30 + -200x Divide each side by '10x'. d = 3x-1 + -20 Simplifying d = 3x-1 + -20 Reorder the terms: d = -20 + 3x-1
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