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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 = -11 -11 + 12x + -5x = 0 Combine like terms: 12x + -5x = 7x -11 + 7x = 0 Solving -11 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 0 + 11 7x = 0 + 11 Combine like terms: 0 + 11 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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