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Simplifying 1 = 2(3x + 5) + 5 + 3(2d + 5) Reorder the terms: 1 = 2(5 + 3x) + 5 + 3(2d + 5) 1 = (5 * 2 + 3x * 2) + 5 + 3(2d + 5) 1 = (10 + 6x) + 5 + 3(2d + 5) Reorder the terms: 1 = 10 + 6x + 5 + 3(5 + 2d) 1 = 10 + 6x + 5 + (5 * 3 + 2d * 3) 1 = 10 + 6x + 5 + (15 + 6d) Reorder the terms: 1 = 10 + 5 + 15 + 6d + 6x Combine like terms: 10 + 5 = 15 1 = 15 + 15 + 6d + 6x Combine like terms: 15 + 15 = 30 1 = 30 + 6d + 6x Solving 1 = 30 + 6d + 6x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 1 + -6d = 30 + 6d + -6d + 6x Combine like terms: 6d + -6d = 0 1 + -6d = 30 + 0 + 6x 1 + -6d = 30 + 6x Add '-1' to each side of the equation. 1 + -1 + -6d = 30 + -1 + 6x Combine like terms: 1 + -1 = 0 0 + -6d = 30 + -1 + 6x -6d = 30 + -1 + 6x Combine like terms: 30 + -1 = 29 -6d = 29 + 6x Divide each side by '-6'. d = -4.833333333 + -1x Simplifying d = -4.833333333 + -1x
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