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Simplifying 7(6x + -12) = 420 Reorder the terms: 7(-12 + 6x) = 420 (-12 * 7 + 6x * 7) = 420 (-84 + 42x) = 420 Solving -84 + 42x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 42x = 420 + 84 Combine like terms: -84 + 84 = 0 0 + 42x = 420 + 84 42x = 420 + 84 Combine like terms: 420 + 84 = 504 42x = 504 Divide each side by '42'. x = 12 Simplifying x = 12
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