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Simplifying 5x + 17 = 14x + -91 Reorder the terms: 17 + 5x = 14x + -91 Reorder the terms: 17 + 5x = -91 + 14x Solving 17 + 5x = -91 + 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. 17 + 5x + -14x = -91 + 14x + -14x Combine like terms: 5x + -14x = -9x 17 + -9x = -91 + 14x + -14x Combine like terms: 14x + -14x = 0 17 + -9x = -91 + 0 17 + -9x = -91 Add '-17' to each side of the equation. 17 + -17 + -9x = -91 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = -91 + -17 -9x = -91 + -17 Combine like terms: -91 + -17 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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