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Simplifying -12 + -5x = -6x + -2(3x + -1) Reorder the terms: -12 + -5x = -6x + -2(-1 + 3x) -12 + -5x = -6x + (-1 * -2 + 3x * -2) -12 + -5x = -6x + (2 + -6x) Reorder the terms: -12 + -5x = 2 + -6x + -6x Combine like terms: -6x + -6x = -12x -12 + -5x = 2 + -12x Solving -12 + -5x = 2 + -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. -12 + -5x + 12x = 2 + -12x + 12x Combine like terms: -5x + 12x = 7x -12 + 7x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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