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Simplifying -7(5 + -1x) + 8 = -83 (5 * -7 + -1x * -7) + 8 = -83 (-35 + 7x) + 8 = -83 Reorder the terms: -35 + 8 + 7x = -83 Combine like terms: -35 + 8 = -27 -27 + 7x = -83 Solving -27 + 7x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7x = -83 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = -83 + 27 7x = -83 + 27 Combine like terms: -83 + 27 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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