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Simplifying 6[7 + -1(5x + -7)] + 4x = 0 Reorder the terms: 6[7 + -1(-7 + 5x)] + 4x = 0 6[7 + (-7 * -1 + 5x * -1)] + 4x = 0 6[7 + (7 + -5x)] + 4x = 0 Combine like terms: 7 + 7 = 14 6[14 + -5x] + 4x = 0 [14 * 6 + -5x * 6] + 4x = 0 [84 + -30x] + 4x = 0 Combine like terms: -30x + 4x = -26x 84 + -26x = 0 Solving 84 + -26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -26x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -26x = 0 + -84 -26x = 0 + -84 Combine like terms: 0 + -84 = -84 -26x = -84 Divide each side by '-26'. x = 3.230769231 Simplifying x = 3.230769231
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