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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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