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Simplifying -12(3 + -1x) = 2(-4 + -1x) (3 * -12 + -1x * -12) = 2(-4 + -1x) (-36 + 12x) = 2(-4 + -1x) -36 + 12x = (-4 * 2 + -1x * 2) -36 + 12x = (-8 + -2x) Solving -36 + 12x = -8 + -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. -36 + 12x + 2x = -8 + -2x + 2x Combine like terms: 12x + 2x = 14x -36 + 14x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 14x = -8 + 0 -36 + 14x = -8 Add '36' to each side of the equation. -36 + 36 + 14x = -8 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = -8 + 36 14x = -8 + 36 Combine like terms: -8 + 36 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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