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Simplifying -2x + 82 = 7x + 1 Reorder the terms: 82 + -2x = 7x + 1 Reorder the terms: 82 + -2x = 1 + 7x Solving 82 + -2x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 82 + -2x + -7x = 1 + 7x + -7x Combine like terms: -2x + -7x = -9x 82 + -9x = 1 + 7x + -7x Combine like terms: 7x + -7x = 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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