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Simplifying -7(7x + 17) = -413 Reorder the terms: -7(17 + 7x) = -413 (17 * -7 + 7x * -7) = -413 (-119 + -49x) = -413 Solving -119 + -49x = -413 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + -49x = -413 + 119 Combine like terms: -119 + 119 = 0 0 + -49x = -413 + 119 -49x = -413 + 119 Combine like terms: -413 + 119 = -294 -49x = -294 Divide each side by '-49'. x = 6 Simplifying x = 6
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