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Simplifying 2(5x + -3) + -1(7x + -9) = 0 Reorder the terms: 2(-3 + 5x) + -1(7x + -9) = 0 (-3 * 2 + 5x * 2) + -1(7x + -9) = 0 (-6 + 10x) + -1(7x + -9) = 0 Reorder the terms: -6 + 10x + -1(-9 + 7x) = 0 -6 + 10x + (-9 * -1 + 7x * -1) = 0 -6 + 10x + (9 + -7x) = 0 Reorder the terms: -6 + 9 + 10x + -7x = 0 Combine like terms: -6 + 9 = 3 3 + 10x + -7x = 0 Combine like terms: 10x + -7x = 3x 3 + 3x = 0 Solving 3 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 0 + -3 3x = 0 + -3 Combine like terms: 0 + -3 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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