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Simplifying 7(3x + 6) + -5 = -82 Reorder the terms: 7(6 + 3x) + -5 = -82 (6 * 7 + 3x * 7) + -5 = -82 (42 + 21x) + -5 = -82 Reorder the terms: 42 + -5 + 21x = -82 Combine like terms: 42 + -5 = 37 37 + 21x = -82 Solving 37 + 21x = -82 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 + 21x = -82 + -37 Combine like terms: 37 + -37 = 0 0 + 21x = -82 + -37 21x = -82 + -37 Combine like terms: -82 + -37 = -119 21x = -119 Divide each side by '21'. x = -5.666666667 Simplifying x = -5.666666667
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