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Simplifying 6(-6 + 7x) = 174 (-6 * 6 + 7x * 6) = 174 (-36 + 42x) = 174 Solving -36 + 42x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 42x = 174 + 36 Combine like terms: -36 + 36 = 0 0 + 42x = 174 + 36 42x = 174 + 36 Combine like terms: 174 + 36 = 210 42x = 210 Divide each side by '42'. x = 5 Simplifying x = 5
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