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Simplifying -1(4 + 2x) = 6x + 12 (4 * -1 + 2x * -1) = 6x + 12 (-4 + -2x) = 6x + 12 Reorder the terms: -4 + -2x = 12 + 6x Solving -4 + -2x = 12 + 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. -4 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = 12 + 0 -4 + -8x = 12 Add '4' to each side of the equation. -4 + 4 + -8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 12 + 4 -8x = 12 + 4 Combine like terms: 12 + 4 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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