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Simplifying 2(-1x + -2) = -4(3x + 6) Reorder the terms: 2(-2 + -1x) = -4(3x + 6) (-2 * 2 + -1x * 2) = -4(3x + 6) (-4 + -2x) = -4(3x + 6) Reorder the terms: -4 + -2x = -4(6 + 3x) -4 + -2x = (6 * -4 + 3x * -4) -4 + -2x = (-24 + -12x) Solving -4 + -2x = -24 + -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. -4 + -2x + 12x = -24 + -12x + 12x Combine like terms: -2x + 12x = 10x -4 + 10x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 10x = -24 + 0 -4 + 10x = -24 Add '4' to each side of the equation. -4 + 4 + 10x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = -24 + 4 10x = -24 + 4 Combine like terms: -24 + 4 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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