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Simplifying 6(1 + -2x) = -114 (1 * 6 + -2x * 6) = -114 (6 + -12x) = -114 Solving 6 + -12x = -114 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 + -12x = -114 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -114 + -6 -12x = -114 + -6 Combine like terms: -114 + -6 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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