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Simplifying -5(4x + 5) + 6(x + -6) = 0 Reorder the terms: -5(5 + 4x) + 6(x + -6) = 0 (5 * -5 + 4x * -5) + 6(x + -6) = 0 (-25 + -20x) + 6(x + -6) = 0 Reorder the terms: -25 + -20x + 6(-6 + x) = 0 -25 + -20x + (-6 * 6 + x * 6) = 0 -25 + -20x + (-36 + 6x) = 0 Reorder the terms: -25 + -36 + -20x + 6x = 0 Combine like terms: -25 + -36 = -61 -61 + -20x + 6x = 0 Combine like terms: -20x + 6x = -14x -61 + -14x = 0 Solving -61 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -14x = 0 + 61 Combine like terms: -61 + 61 = 0 0 + -14x = 0 + 61 -14x = 0 + 61 Combine like terms: 0 + 61 = 61 -14x = 61 Divide each side by '-14'. x = -4.357142857 Simplifying x = -4.357142857
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