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Simplifying 61(69x + -48) + 74 = -108079 Reorder the terms: 61(-48 + 69x) + 74 = -108079 (-48 * 61 + 69x * 61) + 74 = -108079 (-2928 + 4209x) + 74 = -108079 Reorder the terms: -2928 + 74 + 4209x = -108079 Combine like terms: -2928 + 74 = -2854 -2854 + 4209x = -108079 Solving -2854 + 4209x = -108079 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2854' to each side of the equation. -2854 + 2854 + 4209x = -108079 + 2854 Combine like terms: -2854 + 2854 = 0 0 + 4209x = -108079 + 2854 4209x = -108079 + 2854 Combine like terms: -108079 + 2854 = -105225 4209x = -105225 Divide each side by '4209'. x = -25 Simplifying x = -25
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