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Simplifying -12(x + 3) = 2(-3x + -6) Reorder the terms: -12(3 + x) = 2(-3x + -6) (3 * -12 + x * -12) = 2(-3x + -6) (-36 + -12x) = 2(-3x + -6) Reorder the terms: -36 + -12x = 2(-6 + -3x) -36 + -12x = (-6 * 2 + -3x * 2) -36 + -12x = (-12 + -6x) Solving -36 + -12x = -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. -36 + -12x + 6x = -12 + -6x + 6x Combine like terms: -12x + 6x = -6x -36 + -6x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + -6x = -12 + 0 -36 + -6x = -12 Add '36' to each side of the equation. -36 + 36 + -6x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = -12 + 36 -6x = -12 + 36 Combine like terms: -12 + 36 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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