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Simplifying -6x + 3 = 1 + 2(1 + -6x) Reorder the terms: 3 + -6x = 1 + 2(1 + -6x) 3 + -6x = 1 + (1 * 2 + -6x * 2) 3 + -6x = 1 + (2 + -12x) Combine like terms: 1 + 2 = 3 3 + -6x = 3 + -12x Add '-3' to each side of the equation. 3 + -3 + -6x = 3 + -3 + -12x Combine like terms: 3 + -3 = 0 0 + -6x = 3 + -3 + -12x -6x = 3 + -3 + -12x Combine like terms: 3 + -3 = 0 -6x = 0 + -12x -6x = -12x Solving -6x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6x + 12x = -12x + 12x Combine like terms: -6x + 12x = 6x 6x = -12x + 12x Combine like terms: -12x + 12x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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