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Simplifying 6(6x + -13) = 174 Reorder the terms: 6(-13 + 6x) = 174 (-13 * 6 + 6x * 6) = 174 (-78 + 36x) = 174 Solving -78 + 36x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 36x = 174 + 78 Combine like terms: -78 + 78 = 0 0 + 36x = 174 + 78 36x = 174 + 78 Combine like terms: 174 + 78 = 252 36x = 252 Divide each side by '36'. x = 7 Simplifying x = 7
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