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Simplifying -82 = -2(1 + 5x) -82 = (1 * -2 + 5x * -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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