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Simplifying -55 + 6x = 77 + -5x Solving -55 + 6x = 77 + -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 = 77 + -5x + 5x Combine like terms: 6x + 5x = 11x -55 + 11x = 77 + -5x + 5x Combine like terms: -5x + 5x = 0 -55 + 11x = 77 + 0 -55 + 11x = 77 Add '55' to each side of the equation. -55 + 55 + 11x = 77 + 55 Combine like terms: -55 + 55 = 0 0 + 11x = 77 + 55 11x = 77 + 55 Combine like terms: 77 + 55 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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