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Simplifying 6x + 7 = 1 + -5x Reorder the terms: 7 + 6x = 1 + -5x Solving 7 + 6x = 1 + -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. 7 + 6x + 5x = 1 + -5x + 5x Combine like terms: 6x + 5x = 11x 7 + 11x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 11x = 1 + 0 7 + 11x = 1 Add '-7' to each side of the equation. 7 + -7 + 11x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 1 + -7 11x = 1 + -7 Combine like terms: 1 + -7 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455

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