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Simplifying 12 = -2(1 + -7x) + 7(3x + 7) 12 = (1 * -2 + -7x * -2) + 7(3x + 7) 12 = (-2 + 14x) + 7(3x + 7) Reorder the terms: 12 = -2 + 14x + 7(7 + 3x) 12 = -2 + 14x + (7 * 7 + 3x * 7) 12 = -2 + 14x + (49 + 21x) Reorder the terms: 12 = -2 + 49 + 14x + 21x Combine like terms: -2 + 49 = 47 12 = 47 + 14x + 21x Combine like terms: 14x + 21x = 35x 12 = 47 + 35x Solving 12 = 47 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 12 + -35x = 47 + 35x + -35x Combine like terms: 35x + -35x = 0 12 + -35x = 47 + 0 12 + -35x = 47 Add '-12' to each side of the equation. 12 + -12 + -35x = 47 + -12 Combine like terms: 12 + -12 = 0 0 + -35x = 47 + -12 -35x = 47 + -12 Combine like terms: 47 + -12 = 35 -35x = 35 Divide each side by '-35'. x = -1 Simplifying x = -1
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