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Simplifying -6(9x + 3) = 414 Reorder the terms: -6(3 + 9x) = 414 (3 * -6 + 9x * -6) = 414 (-18 + -54x) = 414 Solving -18 + -54x = 414 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -54x = 414 + 18 Combine like terms: -18 + 18 = 0 0 + -54x = 414 + 18 -54x = 414 + 18 Combine like terms: 414 + 18 = 432 -54x = 432 Divide each side by '-54'. x = -8 Simplifying x = -8
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