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Simplifying -6x + 3(-3x + -23) = -174 Reorder the terms: -6x + 3(-23 + -3x) = -174 -6x + (-23 * 3 + -3x * 3) = -174 -6x + (-69 + -9x) = -174 Reorder the terms: -69 + -6x + -9x = -174 Combine like terms: -6x + -9x = -15x -69 + -15x = -174 Solving -69 + -15x = -174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -15x = -174 + 69 Combine like terms: -69 + 69 = 0 0 + -15x = -174 + 69 -15x = -174 + 69 Combine like terms: -174 + 69 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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