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Simplifying 6(-4x + 2) + -2x = 117 Reorder the terms: 6(2 + -4x) + -2x = 117 (2 * 6 + -4x * 6) + -2x = 117 (12 + -24x) + -2x = 117 Combine like terms: -24x + -2x = -26x 12 + -26x = 117 Solving 12 + -26x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -26x = 117 + -12 Combine like terms: 12 + -12 = 0 0 + -26x = 117 + -12 -26x = 117 + -12 Combine like terms: 117 + -12 = 105 -26x = 105 Divide each side by '-26'. x = -4.038461538 Simplifying x = -4.038461538
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