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Simplifying 6x + -6(-4x + -11) = -174 Reorder the terms: 6x + -6(-11 + -4x) = -174 6x + (-11 * -6 + -4x * -6) = -174 6x + (66 + 24x) = -174 Reorder the terms: 66 + 6x + 24x = -174 Combine like terms: 6x + 24x = 30x 66 + 30x = -174 Solving 66 + 30x = -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 + 30x = -174 + -66 Combine like terms: 66 + -66 = 0 0 + 30x = -174 + -66 30x = -174 + -66 Combine like terms: -174 + -66 = -240 30x = -240 Divide each side by '30'. x = -8 Simplifying x = -8
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