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Simplifying 2d + 18 = 12 + -6(x + 7) Reorder the terms: 18 + 2d = 12 + -6(x + 7) Reorder the terms: 18 + 2d = 12 + -6(7 + x) 18 + 2d = 12 + (7 * -6 + x * -6) 18 + 2d = 12 + (-42 + -6x) Combine like terms: 12 + -42 = -30 18 + 2d = -30 + -6x Solving 18 + 2d = -30 + -6x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2d = -30 + -18 + -6x Combine like terms: 18 + -18 = 0 0 + 2d = -30 + -18 + -6x 2d = -30 + -18 + -6x Combine like terms: -30 + -18 = -48 2d = -48 + -6x Divide each side by '2'. d = -24 + -3x Simplifying d = -24 + -3x
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