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Simplifying 6x(3 + 2a) = 42 (3 * 6x + 2a * 6x) = 42 Reorder the terms: (12ax + 18x) = 42 (12ax + 18x) = 42 Solving 12ax + 18x = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18x' to each side of the equation. 12ax + 18x + -18x = 42 + -18x Combine like terms: 18x + -18x = 0 12ax + 0 = 42 + -18x 12ax = 42 + -18x Divide each side by '12x'. a = 3.5x-1 + -1.5 Simplifying a = 3.5x-1 + -1.5 Reorder the terms: a = -1.5 + 3.5x-1
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