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Simplifying 2x + -4x + 34 = 23x + -11x + 22 Reorder the terms: 34 + 2x + -4x = 23x + -11x + 22 Combine like terms: 2x + -4x = -2x 34 + -2x = 23x + -11x + 22 Reorder the terms: 34 + -2x = 22 + 23x + -11x Combine like terms: 23x + -11x = 12x 34 + -2x = 22 + 12x Solving 34 + -2x = 22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 34 + -2x + -12x = 22 + 12x + -12x Combine like terms: -2x + -12x = -14x 34 + -14x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 34 + -14x = 22 + 0 34 + -14x = 22 Add '-34' to each side of the equation. 34 + -34 + -14x = 22 + -34 Combine like terms: 34 + -34 = 0 0 + -14x = 22 + -34 -14x = 22 + -34 Combine like terms: 22 + -34 = -12 -14x = -12 Divide each side by '-14'. x = 0.8571428571 Simplifying x = 0.8571428571
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