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Simplifying 5x + 1 = 14x + 82 Reorder the terms: 1 + 5x = 14x + 82 Reorder the terms: 1 + 5x = 82 + 14x Solving 1 + 5x = 82 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1 + 5x + -14x = 82 + 14x + -14x Combine like terms: 5x + -14x = -9x 1 + -9x = 82 + 14x + -14x Combine like terms: 14x + -14x = 0 1 + -9x = 82 + 0 1 + -9x = 82 Add '-1' to each side of the equation. 1 + -1 + -9x = 82 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 82 + -1 -9x = 82 + -1 Combine like terms: 82 + -1 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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