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Simplifying 174 + -6x = 5x + 9 Reorder the terms: 174 + -6x = 9 + 5x Solving 174 + -6x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 174 + -6x + -5x = 9 + 5x + -5x Combine like terms: -6x + -5x = -11x 174 + -11x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 174 + -11x = 9 + 0 174 + -11x = 9 Add '-174' to each side of the equation. 174 + -174 + -11x = 9 + -174 Combine like terms: 174 + -174 = 0 0 + -11x = 9 + -174 -11x = 9 + -174 Combine like terms: 9 + -174 = -165 -11x = -165 Divide each side by '-11'. x = 15 Simplifying x = 15
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