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Simplifying 2(6x + 3) = 18 + -3(16 + -3d) Reorder the terms: 2(3 + 6x) = 18 + -3(16 + -3d) (3 * 2 + 6x * 2) = 18 + -3(16 + -3d) (6 + 12x) = 18 + -3(16 + -3d) 6 + 12x = 18 + (16 * -3 + -3d * -3) 6 + 12x = 18 + (-48 + 9d) Combine like terms: 18 + -48 = -30 6 + 12x = -30 + 9d Solving 6 + 12x = -30 + 9d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12x = -30 + -6 + 9d Combine like terms: 6 + -6 = 0 0 + 12x = -30 + -6 + 9d 12x = -30 + -6 + 9d Combine like terms: -30 + -6 = -36 12x = -36 + 9d Divide each side by '12'. x = -3 + 0.75d Simplifying x = -3 + 0.75d
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