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Simplifying -343 = -7(1 + 6x) -343 = (1 * -7 + 6x * -7) -343 = (-7 + -42x) Solving -343 = -7 + -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. -343 + 42x = -7 + -42x + 42x Combine like terms: -42x + 42x = 0 -343 + 42x = -7 + 0 -343 + 42x = -7 Add '343' to each side of the equation. -343 + 343 + 42x = -7 + 343 Combine like terms: -343 + 343 = 0 0 + 42x = -7 + 343 42x = -7 + 343 Combine like terms: -7 + 343 = 336 42x = 336 Divide each side by '42'. x = 8 Simplifying x = 8
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