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Simplifying -12 = -6(7x + -5) Reorder the terms: -12 = -6(-5 + 7x) -12 = (-5 * -6 + 7x * -6) -12 = (30 + -42x) Solving -12 = 30 + -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. -12 + 42x = 30 + -42x + 42x Combine like terms: -42x + 42x = 0 -12 + 42x = 30 + 0 -12 + 42x = 30 Add '12' to each side of the equation. -12 + 12 + 42x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 42x = 30 + 12 42x = 30 + 12 Combine like terms: 30 + 12 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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