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Simplifying -2 + -5(3x + -11) = 174 Reorder the terms: -2 + -5(-11 + 3x) = 174 -2 + (-11 * -5 + 3x * -5) = 174 -2 + (55 + -15x) = 174 Combine like terms: -2 + 55 = 53 53 + -15x = 174 Solving 53 + -15x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -15x = 174 + -53 Combine like terms: 53 + -53 = 0 0 + -15x = 174 + -53 -15x = 174 + -53 Combine like terms: 174 + -53 = 121 -15x = 121 Divide each side by '-15'. x = -8.066666667 Simplifying x = -8.066666667
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