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Simplifying -82 = -5(1 + -2x) + 3 -82 = (1 * -5 + -2x * -5) + 3 -82 = (-5 + 10x) + 3 Reorder the terms: -82 = -5 + 3 + 10x Combine like terms: -5 + 3 = -2 -82 = -2 + 10x Solving -82 = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -82 + -10x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -82 + -10x = -2 + 0 -82 + -10x = -2 Add '82' to each side of the equation. -82 + 82 + -10x = -2 + 82 Combine like terms: -82 + 82 = 0 0 + -10x = -2 + 82 -10x = -2 + 82 Combine like terms: -2 + 82 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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