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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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