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Simplifying -1(4x + -14) + 2(5x + 6) = 0 Reorder the terms: -1(-14 + 4x) + 2(5x + 6) = 0 (-14 * -1 + 4x * -1) + 2(5x + 6) = 0 (14 + -4x) + 2(5x + 6) = 0 Reorder the terms: 14 + -4x + 2(6 + 5x) = 0 14 + -4x + (6 * 2 + 5x * 2) = 0 14 + -4x + (12 + 10x) = 0 Reorder the terms: 14 + 12 + -4x + 10x = 0 Combine like terms: 14 + 12 = 26 26 + -4x + 10x = 0 Combine like terms: -4x + 10x = 6x 26 + 6x = 0 Solving 26 + 6x = 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 + 6x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = 0 + -26 6x = 0 + -26 Combine like terms: 0 + -26 = -26 6x = -26 Divide each side by '6'. x = -4.333333333 Simplifying x = -4.333333333
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