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Simplifying 3x + -2(5 + -4x) = 12 3x + (5 * -2 + -4x * -2) = 12 3x + (-10 + 8x) = 12 Reorder the terms: -10 + 3x + 8x = 12 Combine like terms: 3x + 8x = 11x -10 + 11x = 12 Solving -10 + 11x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 11x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 12 + 10 11x = 12 + 10 Combine like terms: 12 + 10 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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