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Simplifying 5x + 82 = -4x + 1 Reorder the terms: 82 + 5x = -4x + 1 Reorder the terms: 82 + 5x = 1 + -4x Solving 82 + 5x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 82 + 5x + 4x = 1 + -4x + 4x Combine like terms: 5x + 4x = 9x 82 + 9x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 82 + 9x = 1 + 0 82 + 9x = 1 Add '-82' to each side of the equation. 82 + -82 + 9x = 1 + -82 Combine like terms: 82 + -82 = 0 0 + 9x = 1 + -82 9x = 1 + -82 Combine like terms: 1 + -82 = -81 9x = -81 Divide each side by '9'. x = -9 Simplifying x = -9
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