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Simplifying -2x + 1 = 2(3x + 1) + -1 Reorder the terms: 1 + -2x = 2(3x + 1) + -1 Reorder the terms: 1 + -2x = 2(1 + 3x) + -1 1 + -2x = (1 * 2 + 3x * 2) + -1 1 + -2x = (2 + 6x) + -1 Reorder the terms: 1 + -2x = 2 + -1 + 6x Combine like terms: 2 + -1 = 1 1 + -2x = 1 + 6x Add '-1' to each side of the equation. 1 + -1 + -2x = 1 + -1 + 6x Combine like terms: 1 + -1 = 0 0 + -2x = 1 + -1 + 6x -2x = 1 + -1 + 6x Combine like terms: 1 + -1 = 0 -2x = 0 + 6x -2x = 6x Solving -2x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2x + -6x = 6x + -6x Combine like terms: -2x + -6x = -8x -8x = 6x + -6x Combine like terms: 6x + -6x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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