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Simplifying 3x + 6(5x + -4) = 174 Reorder the terms: 3x + 6(-4 + 5x) = 174 3x + (-4 * 6 + 5x * 6) = 174 3x + (-24 + 30x) = 174 Reorder the terms: -24 + 3x + 30x = 174 Combine like terms: 3x + 30x = 33x -24 + 33x = 174 Solving -24 + 33x = 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 + 33x = 174 + 24 Combine like terms: -24 + 24 = 0 0 + 33x = 174 + 24 33x = 174 + 24 Combine like terms: 174 + 24 = 198 33x = 198 Divide each side by '33'. x = 6 Simplifying x = 6
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