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Simplifying 5x + 97 = 11x + -5 Reorder the terms: 97 + 5x = 11x + -5 Reorder the terms: 97 + 5x = -5 + 11x Solving 97 + 5x = -5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 97 + 5x + -11x = -5 + 11x + -11x Combine like terms: 5x + -11x = -6x 97 + -6x = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 97 + -6x = -5 + 0 97 + -6x = -5 Add '-97' to each side of the equation. 97 + -97 + -6x = -5 + -97 Combine like terms: 97 + -97 = 0 0 + -6x = -5 + -97 -6x = -5 + -97 Combine like terms: -5 + -97 = -102 -6x = -102 Divide each side by '-6'. x = 17 Simplifying x = 17
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