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Simplifying x + 11 = 6x + 1 Reorder the terms: 11 + x = 6x + 1 Reorder the terms: 11 + x = 1 + 6x Solving 11 + x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + x + -6x = 1 + 6x + -6x Combine like terms: x + -6x = -5x 11 + -5x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -5x = 1 + 0 11 + -5x = 1 Add '-11' to each side of the equation. 11 + -11 + -5x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 1 + -11 -5x = 1 + -11 Combine like terms: 1 + -11 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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