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Simplifying 3x + -1(2 + -4x) = 5x + -12 3x + (2 * -1 + -4x * -1) = 5x + -12 3x + (-2 + 4x) = 5x + -12 Reorder the terms: -2 + 3x + 4x = 5x + -12 Combine like terms: 3x + 4x = 7x -2 + 7x = 5x + -12 Reorder the terms: -2 + 7x = -12 + 5x Solving -2 + 7x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 7x + -5x = -12 + 5x + -5x Combine like terms: 7x + -5x = 2x -2 + 2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 2x = -12 + 0 -2 + 2x = -12 Add '2' to each side of the equation. -2 + 2 + 2x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -12 + 2 2x = -12 + 2 Combine like terms: -12 + 2 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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