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Simplifying -6x + 6(5x + -11) = 174 Reorder the terms: -6x + 6(-11 + 5x) = 174 -6x + (-11 * 6 + 5x * 6) = 174 -6x + (-66 + 30x) = 174 Reorder the terms: -66 + -6x + 30x = 174 Combine like terms: -6x + 30x = 24x -66 + 24x = 174 Solving -66 + 24x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 24x = 174 + 66 Combine like terms: -66 + 66 = 0 0 + 24x = 174 + 66 24x = 174 + 66 Combine like terms: 174 + 66 = 240 24x = 240 Divide each side by '24'. x = 10 Simplifying x = 10
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