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Simplifying -6(1 + 6x) = 174 (1 * -6 + 6x * -6) = 174 (-6 + -36x) = 174 Solving -6 + -36x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -36x = 174 + 6 Combine like terms: -6 + 6 = 0 0 + -36x = 174 + 6 -36x = 174 + 6 Combine like terms: 174 + 6 = 180 -36x = 180 Divide each side by '-36'. x = -5 Simplifying x = -5
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