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Simplifying -5 + -7(5 + -6x) = -82 -5 + (5 * -7 + -6x * -7) = -82 -5 + (-35 + 42x) = -82 Combine like terms: -5 + -35 = -40 -40 + 42x = -82 Solving -40 + 42x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 42x = -82 + 40 Combine like terms: -40 + 40 = 0 0 + 42x = -82 + 40 42x = -82 + 40 Combine like terms: -82 + 40 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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