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