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Simplifying 3(3x + 7) + 4(5x + -2) = 0 Reorder the terms: 3(7 + 3x) + 4(5x + -2) = 0 (7 * 3 + 3x * 3) + 4(5x + -2) = 0 (21 + 9x) + 4(5x + -2) = 0 Reorder the terms: 21 + 9x + 4(-2 + 5x) = 0 21 + 9x + (-2 * 4 + 5x * 4) = 0 21 + 9x + (-8 + 20x) = 0 Reorder the terms: 21 + -8 + 9x + 20x = 0 Combine like terms: 21 + -8 = 13 13 + 9x + 20x = 0 Combine like terms: 9x + 20x = 29x 13 + 29x = 0 Solving 13 + 29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 29x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 29x = 0 + -13 29x = 0 + -13 Combine like terms: 0 + -13 = -13 29x = -13 Divide each side by '29'. x = -0.4482758621 Simplifying x = -0.4482758621
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