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Simplifying 1 + 6x = -5x + 122 Reorder the terms: 1 + 6x = 122 + -5x Solving 1 + 6x = 122 + -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. 1 + 6x + 5x = 122 + -5x + 5x Combine like terms: 6x + 5x = 11x 1 + 11x = 122 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 11x = 122 + 0 1 + 11x = 122 Add '-1' to each side of the equation. 1 + -1 + 11x = 122 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 122 + -1 11x = 122 + -1 Combine like terms: 122 + -1 = 121 11x = 121 Divide each side by '11'. x = 11 Simplifying x = 11
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