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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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