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Simplifying 6(1 + -7x) = -456 (1 * 6 + -7x * 6) = -456 (6 + -42x) = -456 Solving 6 + -42x = -456 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 = -456 + -6 Combine like terms: 6 + -6 = 0 0 + -42x = -456 + -6 -42x = -456 + -6 Combine like terms: -456 + -6 = -462 -42x = -462 Divide each side by '-42'. x = 11 Simplifying x = 11
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