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