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Simplifying 2(5x + -9) + -3(x + 2) = 0 Reorder the terms: 2(-9 + 5x) + -3(x + 2) = 0 (-9 * 2 + 5x * 2) + -3(x + 2) = 0 (-18 + 10x) + -3(x + 2) = 0 Reorder the terms: -18 + 10x + -3(2 + x) = 0 -18 + 10x + (2 * -3 + x * -3) = 0 -18 + 10x + (-6 + -3x) = 0 Reorder the terms: -18 + -6 + 10x + -3x = 0 Combine like terms: -18 + -6 = -24 -24 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x -24 + 7x = 0 Solving -24 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 0 + 24 7x = 0 + 24 Combine like terms: 0 + 24 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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