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Simplifying 9(x + -3) + 5(x + -5) = 0 Reorder the terms: 9(-3 + x) + 5(x + -5) = 0 (-3 * 9 + x * 9) + 5(x + -5) = 0 (-27 + 9x) + 5(x + -5) = 0 Reorder the terms: -27 + 9x + 5(-5 + x) = 0 -27 + 9x + (-5 * 5 + x * 5) = 0 -27 + 9x + (-25 + 5x) = 0 Reorder the terms: -27 + -25 + 9x + 5x = 0 Combine like terms: -27 + -25 = -52 -52 + 9x + 5x = 0 Combine like terms: 9x + 5x = 14x -52 + 14x = 0 Solving -52 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 14x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 14x = 0 + 52 14x = 0 + 52 Combine like terms: 0 + 52 = 52 14x = 52 Divide each side by '14'. x = 3.714285714 Simplifying x = 3.714285714
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