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Simplifying 7(-1 + 2x) + -6 = -83 (-1 * 7 + 2x * 7) + -6 = -83 (-7 + 14x) + -6 = -83 Reorder the terms: -7 + -6 + 14x = -83 Combine like terms: -7 + -6 = -13 -13 + 14x = -83 Solving -13 + 14x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 14x = -83 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = -83 + 13 14x = -83 + 13 Combine like terms: -83 + 13 = -70 14x = -70 Divide each side by '14'. x = -5 Simplifying x = -5
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