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Simplifying -4(3x + 6) = 2(-1x + -2) Reorder the terms: -4(6 + 3x) = 2(-1x + -2) (6 * -4 + 3x * -4) = 2(-1x + -2) (-24 + -12x) = 2(-1x + -2) Reorder the terms: -24 + -12x = 2(-2 + -1x) -24 + -12x = (-2 * 2 + -1x * 2) -24 + -12x = (-4 + -2x) Solving -24 + -12x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + -12x + 2x = -4 + -2x + 2x Combine like terms: -12x + 2x = -10x -24 + -10x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -10x = -4 + 0 -24 + -10x = -4 Add '24' to each side of the equation. -24 + 24 + -10x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -10x = -4 + 24 -10x = -4 + 24 Combine like terms: -4 + 24 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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