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Simplifying 2(3x + 1) = -6x + 2 Reorder the terms: 2(1 + 3x) = -6x + 2 (1 * 2 + 3x * 2) = -6x + 2 (2 + 6x) = -6x + 2 Reorder the terms: 2 + 6x = 2 + -6x Add '-2' to each side of the equation. 2 + -2 + 6x = 2 + -2 + -6x Combine like terms: 2 + -2 = 0 0 + 6x = 2 + -2 + -6x 6x = 2 + -2 + -6x Combine like terms: 2 + -2 = 0 6x = 0 + -6x 6x = -6x Solving 6x = -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. 6x + 6x = -6x + 6x Combine like terms: 6x + 6x = 12x 12x = -6x + 6x Combine like terms: -6x + 6x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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