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Simplifying -9(5x + -16) = 414 Reorder the terms: -9(-16 + 5x) = 414 (-16 * -9 + 5x * -9) = 414 (144 + -45x) = 414 Solving 144 + -45x = 414 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -45x = 414 + -144 Combine like terms: 144 + -144 = 0 0 + -45x = 414 + -144 -45x = 414 + -144 Combine like terms: 414 + -144 = 270 -45x = 270 Divide each side by '-45'. x = -6 Simplifying x = -6
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