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Simplifying -1(5x + -14) + 3(6x + 4) = 0 Reorder the terms: -1(-14 + 5x) + 3(6x + 4) = 0 (-14 * -1 + 5x * -1) + 3(6x + 4) = 0 (14 + -5x) + 3(6x + 4) = 0 Reorder the terms: 14 + -5x + 3(4 + 6x) = 0 14 + -5x + (4 * 3 + 6x * 3) = 0 14 + -5x + (12 + 18x) = 0 Reorder the terms: 14 + 12 + -5x + 18x = 0 Combine like terms: 14 + 12 = 26 26 + -5x + 18x = 0 Combine like terms: -5x + 18x = 13x 26 + 13x = 0 Solving 26 + 13x = 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 + 13x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 13x = 0 + -26 13x = 0 + -26 Combine like terms: 0 + -26 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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