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Simplifying -6x + 55 = 5x + -22 Reorder the terms: 55 + -6x = 5x + -22 Reorder the terms: 55 + -6x = -22 + 5x Solving 55 + -6x = -22 + 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. 55 + -6x + -5x = -22 + 5x + -5x Combine like terms: -6x + -5x = -11x 55 + -11x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 55 + -11x = -22 + 0 55 + -11x = -22 Add '-55' to each side of the equation. 55 + -55 + -11x = -22 + -55 Combine like terms: 55 + -55 = 0 0 + -11x = -22 + -55 -11x = -22 + -55 Combine like terms: -22 + -55 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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