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Simplifying 4(5x + -2) + -2(3x + 6) = 0 Reorder the terms: 4(-2 + 5x) + -2(3x + 6) = 0 (-2 * 4 + 5x * 4) + -2(3x + 6) = 0 (-8 + 20x) + -2(3x + 6) = 0 Reorder the terms: -8 + 20x + -2(6 + 3x) = 0 -8 + 20x + (6 * -2 + 3x * -2) = 0 -8 + 20x + (-12 + -6x) = 0 Reorder the terms: -8 + -12 + 20x + -6x = 0 Combine like terms: -8 + -12 = -20 -20 + 20x + -6x = 0 Combine like terms: 20x + -6x = 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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