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Simplifying 6(8 + 7x) = -414 (8 * 6 + 7x * 6) = -414 (48 + 42x) = -414 Solving 48 + 42x = -414 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 42x = -414 + -48 Combine like terms: 48 + -48 = 0 0 + 42x = -414 + -48 42x = -414 + -48 Combine like terms: -414 + -48 = -462 42x = -462 Divide each side by '42'. x = -11 Simplifying x = -11
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