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Simplifying 3(2x + -5) + -4(5x + 3) = 0 Reorder the terms: 3(-5 + 2x) + -4(5x + 3) = 0 (-5 * 3 + 2x * 3) + -4(5x + 3) = 0 (-15 + 6x) + -4(5x + 3) = 0 Reorder the terms: -15 + 6x + -4(3 + 5x) = 0 -15 + 6x + (3 * -4 + 5x * -4) = 0 -15 + 6x + (-12 + -20x) = 0 Reorder the terms: -15 + -12 + 6x + -20x = 0 Combine like terms: -15 + -12 = -27 -27 + 6x + -20x = 0 Combine like terms: 6x + -20x = -14x -27 + -14x = 0 Solving -27 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -14x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -14x = 0 + 27 -14x = 0 + 27 Combine like terms: 0 + 27 = 27 -14x = 27 Divide each side by '-14'. x = -1.928571429 Simplifying x = -1.928571429
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