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Simplifying 7(9x + 13) = 406 Reorder the terms: 7(13 + 9x) = 406 (13 * 7 + 9x * 7) = 406 (91 + 63x) = 406 Solving 91 + 63x = 406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 63x = 406 + -91 Combine like terms: 91 + -91 = 0 0 + 63x = 406 + -91 63x = 406 + -91 Combine like terms: 406 + -91 = 315 63x = 315 Divide each side by '63'. x = 5 Simplifying x = 5
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