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Simplifying -2(x + 3) = 6x + 2 Reorder the terms: -2(3 + x) = 6x + 2 (3 * -2 + x * -2) = 6x + 2 (-6 + -2x) = 6x + 2 Reorder the terms: -6 + -2x = 2 + 6x Solving -6 + -2x = 2 + 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. -6 + -2x + -6x = 2 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = 2 + 0 -6 + -8x = 2 Add '6' to each side of the equation. -6 + 6 + -8x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 2 + 6 -8x = 2 + 6 Combine like terms: 2 + 6 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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