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Simplifying -2(x + -12) + -12x = 3(1 + -7x) Reorder the terms: -2(-12 + x) + -12x = 3(1 + -7x) (-12 * -2 + x * -2) + -12x = 3(1 + -7x) (24 + -2x) + -12x = 3(1 + -7x) Combine like terms: -2x + -12x = -14x 24 + -14x = 3(1 + -7x) 24 + -14x = (1 * 3 + -7x * 3) 24 + -14x = (3 + -21x) Solving 24 + -14x = 3 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 24 + -14x + 21x = 3 + -21x + 21x Combine like terms: -14x + 21x = 7x 24 + 7x = 3 + -21x + 21x Combine like terms: -21x + 21x = 0 24 + 7x = 3 + 0 24 + 7x = 3 Add '-24' to each side of the equation. 24 + -24 + 7x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 3 + -24 7x = 3 + -24 Combine like terms: 3 + -24 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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