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Simplifying 82 + 13x + -68 = 8x + 49 Reorder the terms: 82 + -68 + 13x = 8x + 49 Combine like terms: 82 + -68 = 14 14 + 13x = 8x + 49 Reorder the terms: 14 + 13x = 49 + 8x Solving 14 + 13x = 49 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 13x + -8x = 49 + 8x + -8x Combine like terms: 13x + -8x = 5x 14 + 5x = 49 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 5x = 49 + 0 14 + 5x = 49 Add '-14' to each side of the equation. 14 + -14 + 5x = 49 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 49 + -14 5x = 49 + -14 Combine like terms: 49 + -14 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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