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Simplifying 3x + -1(4 + -2x) = 12x + 14 3x + (4 * -1 + -2x * -1) = 12x + 14 3x + (-4 + 2x) = 12x + 14 Reorder the terms: -4 + 3x + 2x = 12x + 14 Combine like terms: 3x + 2x = 5x -4 + 5x = 12x + 14 Reorder the terms: -4 + 5x = 14 + 12x Solving -4 + 5x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 5x + -12x = 14 + 12x + -12x Combine like terms: 5x + -12x = -7x -4 + -7x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -7x = 14 + 0 -4 + -7x = 14 Add '4' to each side of the equation. -4 + 4 + -7x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 14 + 4 -7x = 14 + 4 Combine like terms: 14 + 4 = 18 -7x = 18 Divide each side by '-7'. x = -2.571428571 Simplifying x = -2.571428571
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