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Simplifying -6(-7 + -4x) + -5 = -83 (-7 * -6 + -4x * -6) + -5 = -83 (42 + 24x) + -5 = -83 Reorder the terms: 42 + -5 + 24x = -83 Combine like terms: 42 + -5 = 37 37 + 24x = -83 Solving 37 + 24x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 24x = -83 + -37 Combine like terms: 37 + -37 = 0 0 + 24x = -83 + -37 24x = -83 + -37 Combine like terms: -83 + -37 = -120 24x = -120 Divide each side by '24'. x = -5 Simplifying x = -5
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