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Simplifying 4(3x + -7) + 9(5x + 2) = 0 Reorder the terms: 4(-7 + 3x) + 9(5x + 2) = 0 (-7 * 4 + 3x * 4) + 9(5x + 2) = 0 (-28 + 12x) + 9(5x + 2) = 0 Reorder the terms: -28 + 12x + 9(2 + 5x) = 0 -28 + 12x + (2 * 9 + 5x * 9) = 0 -28 + 12x + (18 + 45x) = 0 Reorder the terms: -28 + 18 + 12x + 45x = 0 Combine like terms: -28 + 18 = -10 -10 + 12x + 45x = 0 Combine like terms: 12x + 45x = 57x -10 + 57x = 0 Solving -10 + 57x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 57x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 57x = 0 + 10 57x = 0 + 10 Combine like terms: 0 + 10 = 10 57x = 10 Divide each side by '57'. x = 0.1754385965 Simplifying x = 0.1754385965
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