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Simplifying -6x + 1 = 2x + 1 Reorder the terms: 1 + -6x = 2x + 1 Reorder the terms: 1 + -6x = 1 + 2x Add '-1' to each side of the equation. 1 + -1 + -6x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + -6x = 1 + -1 + 2x -6x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 -6x = 0 + 2x -6x = 2x Solving -6x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6x + -2x = 2x + -2x Combine like terms: -6x + -2x = -8x -8x = 2x + -2x Combine like terms: 2x + -2x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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