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Simplifying 7(1 + -6x) = 343 (1 * 7 + -6x * 7) = 343 (7 + -42x) = 343 Solving 7 + -42x = 343 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -42x = 343 + -7 Combine like terms: 7 + -7 = 0 0 + -42x = 343 + -7 -42x = 343 + -7 Combine like terms: 343 + -7 = 336 -42x = 336 Divide each side by '-42'. x = -8 Simplifying x = -8
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