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Simplifying 6(1 + 7x) = -204 (1 * 6 + 7x * 6) = -204 (6 + 42x) = -204 Solving 6 + 42x = -204 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 42x = -204 + -6 Combine like terms: 6 + -6 = 0 0 + 42x = -204 + -6 42x = -204 + -6 Combine like terms: -204 + -6 = -210 42x = -210 Divide each side by '42'. x = -5 Simplifying x = -5
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