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Simplifying -4(3x + 2) = 2(-3x + -1) Reorder the terms: -4(2 + 3x) = 2(-3x + -1) (2 * -4 + 3x * -4) = 2(-3x + -1) (-8 + -12x) = 2(-3x + -1) Reorder the terms: -8 + -12x = 2(-1 + -3x) -8 + -12x = (-1 * 2 + -3x * 2) -8 + -12x = (-2 + -6x) Solving -8 + -12x = -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. -8 + -12x + 6x = -2 + -6x + 6x Combine like terms: -12x + 6x = -6x -8 + -6x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + -6x = -2 + 0 -8 + -6x = -2 Add '8' to each side of the equation. -8 + 8 + -6x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -2 + 8 -6x = -2 + 8 Combine like terms: -2 + 8 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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