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Simplifying -2x + 1 = 4x + 1 Reorder the terms: 1 + -2x = 4x + 1 Reorder the terms: 1 + -2x = 1 + 4x Add '-1' to each side of the equation. 1 + -1 + -2x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + -2x = 1 + -1 + 4x -2x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 -2x = 0 + 4x -2x = 4x Solving -2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2x + -4x = 4x + -4x Combine like terms: -2x + -4x = -6x -6x = 4x + -4x Combine like terms: 4x + -4x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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