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Simplifying 3x + 1 = 3 + -1(2 + -2x) Reorder the terms: 1 + 3x = 3 + -1(2 + -2x) 1 + 3x = 3 + (2 * -1 + -2x * -1) 1 + 3x = 3 + (-2 + 2x) Combine like terms: 3 + -2 = 1 1 + 3x = 1 + 2x Add '-1' to each side of the equation. 1 + -1 + 3x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + 3x = 1 + -1 + 2x 3x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 3x = 0 + 2x 3x = 2x Solving 3x = 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. 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 2x + -2x Combine like terms: 2x + -2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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