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Simplifying 4x + 22 = 11x + -34 Reorder the terms: 22 + 4x = 11x + -34 Reorder the terms: 22 + 4x = -34 + 11x Solving 22 + 4x = -34 + 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. 22 + 4x + -11x = -34 + 11x + -11x Combine like terms: 4x + -11x = -7x 22 + -7x = -34 + 11x + -11x Combine like terms: 11x + -11x = 0 22 + -7x = -34 + 0 22 + -7x = -34 Add '-22' to each side of the equation. 22 + -22 + -7x = -34 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -34 + -22 -7x = -34 + -22 Combine like terms: -34 + -22 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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