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Simplifying 6(6x + 6) + -34(x + 6) = -166 Reorder the terms: 6(6 + 6x) + -34(x + 6) = -166 (6 * 6 + 6x * 6) + -34(x + 6) = -166 (36 + 36x) + -34(x + 6) = -166 Reorder the terms: 36 + 36x + -34(6 + x) = -166 36 + 36x + (6 * -34 + x * -34) = -166 36 + 36x + (-204 + -34x) = -166 Reorder the terms: 36 + -204 + 36x + -34x = -166 Combine like terms: 36 + -204 = -168 -168 + 36x + -34x = -166 Combine like terms: 36x + -34x = 2x -168 + 2x = -166 Solving -168 + 2x = -166 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '168' to each side of the equation. -168 + 168 + 2x = -166 + 168 Combine like terms: -168 + 168 = 0 0 + 2x = -166 + 168 2x = -166 + 168 Combine like terms: -166 + 168 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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