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Simplifying -166 = x + -6(3 + -6x) -166 = x + (3 * -6 + -6x * -6) -166 = x + (-18 + 36x) Reorder the terms: -166 = -18 + x + 36x Combine like terms: x + 36x = 37x -166 = -18 + 37x Solving -166 = -18 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. -166 + -37x = -18 + 37x + -37x Combine like terms: 37x + -37x = 0 -166 + -37x = -18 + 0 -166 + -37x = -18 Add '166' to each side of the equation. -166 + 166 + -37x = -18 + 166 Combine like terms: -166 + 166 = 0 0 + -37x = -18 + 166 -37x = -18 + 166 Combine like terms: -18 + 166 = 148 -37x = 148 Divide each side by '-37'. x = -4 Simplifying x = -4
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