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