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Simplifying 5(9x + 12) = 420 Reorder the terms: 5(12 + 9x) = 420 (12 * 5 + 9x * 5) = 420 (60 + 45x) = 420 Solving 60 + 45x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 45x = 420 + -60 Combine like terms: 60 + -60 = 0 0 + 45x = 420 + -60 45x = 420 + -60 Combine like terms: 420 + -60 = 360 45x = 360 Divide each side by '45'. x = 8 Simplifying x = 8
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