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Simplifying x + -12 + -4(3x + 2) = 2 Reorder the terms: x + -12 + -4(2 + 3x) = 2 x + -12 + (2 * -4 + 3x * -4) = 2 x + -12 + (-8 + -12x) = 2 Reorder the terms: -12 + -8 + x + -12x = 2 Combine like terms: -12 + -8 = -20 -20 + x + -12x = 2 Combine like terms: x + -12x = -11x -20 + -11x = 2 Solving -20 + -11x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -11x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = 2 + 20 -11x = 2 + 20 Combine like terms: 2 + 20 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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