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Simplifying 3(2x + 4) + -4(5x + -2) = 0 Reorder the terms: 3(4 + 2x) + -4(5x + -2) = 0 (4 * 3 + 2x * 3) + -4(5x + -2) = 0 (12 + 6x) + -4(5x + -2) = 0 Reorder the terms: 12 + 6x + -4(-2 + 5x) = 0 12 + 6x + (-2 * -4 + 5x * -4) = 0 12 + 6x + (8 + -20x) = 0 Reorder the terms: 12 + 8 + 6x + -20x = 0 Combine like terms: 12 + 8 = 20 20 + 6x + -20x = 0 Combine like terms: 6x + -20x = -14x 20 + -14x = 0 Solving 20 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -14x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = 0 + -20 -14x = 0 + -20 Combine like terms: 0 + -20 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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