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Simplifying 2x + -2x + 1 = 4x + 1 Reorder the terms: 1 + 2x + -2x = 4x + 1 Combine like terms: 2x + -2x = 0 1 + 0 = 4x + 1 1 = 4x + 1 Reorder the terms: 1 = 1 + 4x Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 = 0 + 4x 0 = 4x Solving 0 = 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. 0 + -4x = 4x + -4x Remove the zero: -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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