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Simplifying 162 = -6(1 + 7x) 162 = (1 * -6 + 7x * -6) 162 = (-6 + -42x) Solving 162 = -6 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 162 + 42x = -6 + -42x + 42x Combine like terms: -42x + 42x = 0 162 + 42x = -6 + 0 162 + 42x = -6 Add '-162' to each side of the equation. 162 + -162 + 42x = -6 + -162 Combine like terms: 162 + -162 = 0 0 + 42x = -6 + -162 42x = -6 + -162 Combine like terms: -6 + -162 = -168 42x = -168 Divide each side by '42'. x = -4 Simplifying x = -4
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