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Simplifying -82 = 5(1 + -5x) + -4x -82 = (1 * 5 + -5x * 5) + -4x -82 = (5 + -25x) + -4x Combine like terms: -25x + -4x = -29x -82 = 5 + -29x Solving -82 = 5 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -82 + 29x = 5 + -29x + 29x Combine like terms: -29x + 29x = 0 -82 + 29x = 5 + 0 -82 + 29x = 5 Add '82' to each side of the equation. -82 + 82 + 29x = 5 + 82 Combine like terms: -82 + 82 = 0 0 + 29x = 5 + 82 29x = 5 + 82 Combine like terms: 5 + 82 = 87 29x = 87 Divide each side by '29'. x = 3 Simplifying x = 3
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