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Simplifying 6(x + -7) + 7 = -83 Reorder the terms: 6(-7 + x) + 7 = -83 (-7 * 6 + x * 6) + 7 = -83 (-42 + 6x) + 7 = -83 Reorder the terms: -42 + 7 + 6x = -83 Combine like terms: -42 + 7 = -35 -35 + 6x = -83 Solving -35 + 6x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 6x = -83 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = -83 + 35 6x = -83 + 35 Combine like terms: -83 + 35 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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