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Simplifying 3(3x + -7) + 2(5x + 9) = 0 Reorder the terms: 3(-7 + 3x) + 2(5x + 9) = 0 (-7 * 3 + 3x * 3) + 2(5x + 9) = 0 (-21 + 9x) + 2(5x + 9) = 0 Reorder the terms: -21 + 9x + 2(9 + 5x) = 0 -21 + 9x + (9 * 2 + 5x * 2) = 0 -21 + 9x + (18 + 10x) = 0 Reorder the terms: -21 + 18 + 9x + 10x = 0 Combine like terms: -21 + 18 = -3 -3 + 9x + 10x = 0 Combine like terms: 9x + 10x = 19x -3 + 19x = 0 Solving -3 + 19x = 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 + 19x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 19x = 0 + 3 19x = 0 + 3 Combine like terms: 0 + 3 = 3 19x = 3 Divide each side by '19'. x = 0.1578947368 Simplifying x = 0.1578947368
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