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Simplifying 11x + -6x + 174 = 11x + 120 Reorder the terms: 174 + 11x + -6x = 11x + 120 Combine like terms: 11x + -6x = 5x 174 + 5x = 11x + 120 Reorder the terms: 174 + 5x = 120 + 11x Solving 174 + 5x = 120 + 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. 174 + 5x + -11x = 120 + 11x + -11x Combine like terms: 5x + -11x = -6x 174 + -6x = 120 + 11x + -11x Combine like terms: 11x + -11x = 0 174 + -6x = 120 + 0 174 + -6x = 120 Add '-174' to each side of the equation. 174 + -174 + -6x = 120 + -174 Combine like terms: 174 + -174 = 0 0 + -6x = 120 + -174 -6x = 120 + -174 Combine like terms: 120 + -174 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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