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Simplifying 6(2x + -3) + -1(5x + 7) = 0 Reorder the terms: 6(-3 + 2x) + -1(5x + 7) = 0 (-3 * 6 + 2x * 6) + -1(5x + 7) = 0 (-18 + 12x) + -1(5x + 7) = 0 Reorder the terms: -18 + 12x + -1(7 + 5x) = 0 -18 + 12x + (7 * -1 + 5x * -1) = 0 -18 + 12x + (-7 + -5x) = 0 Reorder the terms: -18 + -7 + 12x + -5x = 0 Combine like terms: -18 + -7 = -25 -25 + 12x + -5x = 0 Combine like terms: 12x + -5x = 7x -25 + 7x = 0 Solving -25 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 7x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 7x = 0 + 25 7x = 0 + 25 Combine like terms: 0 + 25 = 25 7x = 25 Divide each side by '7'. x = 3.571428571 Simplifying x = 3.571428571
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