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Simplifying -7x + 2(-7x + 11) = -83 Reorder the terms: -7x + 2(11 + -7x) = -83 -7x + (11 * 2 + -7x * 2) = -83 -7x + (22 + -14x) = -83 Reorder the terms: 22 + -7x + -14x = -83 Combine like terms: -7x + -14x = -21x 22 + -21x = -83 Solving 22 + -21x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -21x = -83 + -22 Combine like terms: 22 + -22 = 0 0 + -21x = -83 + -22 -21x = -83 + -22 Combine like terms: -83 + -22 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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