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Simplifying 5x + 26 = 14x + -83 Reorder the terms: 26 + 5x = 14x + -83 Reorder the terms: 26 + 5x = -83 + 14x Solving 26 + 5x = -83 + 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. 26 + 5x + -14x = -83 + 14x + -14x Combine like terms: 5x + -14x = -9x 26 + -9x = -83 + 14x + -14x Combine like terms: 14x + -14x = 0 26 + -9x = -83 + 0 26 + -9x = -83 Add '-26' to each side of the equation. 26 + -26 + -9x = -83 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = -83 + -26 -9x = -83 + -26 Combine like terms: -83 + -26 = -109 -9x = -109 Divide each side by '-9'. x = 12.11111111 Simplifying x = 12.11111111
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