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Simplifying 12 + -1x = -6(-7x + -2) Reorder the terms: 12 + -1x = -6(-2 + -7x) 12 + -1x = (-2 * -6 + -7x * -6) 12 + -1x = (12 + 42x) Add '-12' to each side of the equation. 12 + -12 + -1x = 12 + -12 + 42x Combine like terms: 12 + -12 = 0 0 + -1x = 12 + -12 + 42x -1x = 12 + -12 + 42x Combine like terms: 12 + -12 = 0 -1x = 0 + 42x -1x = 42x Solving -1x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -1x + -42x = 42x + -42x Combine like terms: -1x + -42x = -43x -43x = 42x + -42x Combine like terms: 42x + -42x = 0 -43x = 0 Divide each side by '-43'. x = 0 Simplifying x = 0
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