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Simplifying 6(7x + -23) = 174 Reorder the terms: 6(-23 + 7x) = 174 (-23 * 6 + 7x * 6) = 174 (-138 + 42x) = 174 Solving -138 + 42x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '138' to each side of the equation. -138 + 138 + 42x = 174 + 138 Combine like terms: -138 + 138 = 0 0 + 42x = 174 + 138 42x = 174 + 138 Combine like terms: 174 + 138 = 312 42x = 312 Divide each side by '42'. x = 7.428571429 Simplifying x = 7.428571429
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