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Simplifying -166 = -5 + 7(-3x + -2) Reorder the terms: -166 = -5 + 7(-2 + -3x) -166 = -5 + (-2 * 7 + -3x * 7) -166 = -5 + (-14 + -21x) Combine like terms: -5 + -14 = -19 -166 = -19 + -21x Solving -166 = -19 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -166 + 21x = -19 + -21x + 21x Combine like terms: -21x + 21x = 0 -166 + 21x = -19 + 0 -166 + 21x = -19 Add '166' to each side of the equation. -166 + 166 + 21x = -19 + 166 Combine like terms: -166 + 166 = 0 0 + 21x = -19 + 166 21x = -19 + 166 Combine like terms: -19 + 166 = 147 21x = 147 Divide each side by '21'. x = 7 Simplifying x = 7
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