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Simplifying 7(-7 + 2x) + 6 = -127 (-7 * 7 + 2x * 7) + 6 = -127 (-49 + 14x) + 6 = -127 Reorder the terms: -49 + 6 + 14x = -127 Combine like terms: -49 + 6 = -43 -43 + 14x = -127 Solving -43 + 14x = -127 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 14x = -127 + 43 Combine like terms: -43 + 43 = 0 0 + 14x = -127 + 43 14x = -127 + 43 Combine like terms: -127 + 43 = -84 14x = -84 Divide each side by '14'. x = -6 Simplifying x = -6
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