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Simplifying 4 + -5(1 + -4x) = -82 4 + (1 * -5 + -4x * -5) = -82 4 + (-5 + 20x) = -82 Combine like terms: 4 + -5 = -1 -1 + 20x = -82 Solving -1 + 20x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 20x = -82 + 1 Combine like terms: -1 + 1 = 0 0 + 20x = -82 + 1 20x = -82 + 1 Combine like terms: -82 + 1 = -81 20x = -81 Divide each side by '20'. x = -4.05 Simplifying x = -4.05
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