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Simplifying 3x(a + 7) = 51 Reorder the terms: 3x(7 + a) = 51 (7 * 3x + a * 3x) = 51 Reorder the terms: (3ax + 21x) = 51 (3ax + 21x) = 51 Solving 3ax + 21x = 51 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21x' to each side of the equation. 3ax + 21x + -21x = 51 + -21x Combine like terms: 21x + -21x = 0 3ax + 0 = 51 + -21x 3ax = 51 + -21x Divide each side by '3x'. a = 17x-1 + -7 Simplifying a = 17x-1 + -7 Reorder the terms: a = -7 + 17x-1
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