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Simplifying 6x + 4(3x + -6) = 174 Reorder the terms: 6x + 4(-6 + 3x) = 174 6x + (-6 * 4 + 3x * 4) = 174 6x + (-24 + 12x) = 174 Reorder the terms: -24 + 6x + 12x = 174 Combine like terms: 6x + 12x = 18x -24 + 18x = 174 Solving -24 + 18x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 18x = 174 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = 174 + 24 18x = 174 + 24 Combine like terms: 174 + 24 = 198 18x = 198 Divide each side by '18'. x = 11 Simplifying x = 11
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