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Simplifying -1(4x + -12) + 2(6x + 7) = 0 Reorder the terms: -1(-12 + 4x) + 2(6x + 7) = 0 (-12 * -1 + 4x * -1) + 2(6x + 7) = 0 (12 + -4x) + 2(6x + 7) = 0 Reorder the terms: 12 + -4x + 2(7 + 6x) = 0 12 + -4x + (7 * 2 + 6x * 2) = 0 12 + -4x + (14 + 12x) = 0 Reorder the terms: 12 + 14 + -4x + 12x = 0 Combine like terms: 12 + 14 = 26 26 + -4x + 12x = 0 Combine like terms: -4x + 12x = 8x 26 + 8x = 0 Solving 26 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 8x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 8x = 0 + -26 8x = 0 + -26 Combine like terms: 0 + -26 = -26 8x = -26 Divide each side by '8'. x = -3.25 Simplifying x = -3.25
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