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Simplifying 5(x + -2) + 9(x + -1) = 0 Reorder the terms: 5(-2 + x) + 9(x + -1) = 0 (-2 * 5 + x * 5) + 9(x + -1) = 0 (-10 + 5x) + 9(x + -1) = 0 Reorder the terms: -10 + 5x + 9(-1 + x) = 0 -10 + 5x + (-1 * 9 + x * 9) = 0 -10 + 5x + (-9 + 9x) = 0 Reorder the terms: -10 + -9 + 5x + 9x = 0 Combine like terms: -10 + -9 = -19 -19 + 5x + 9x = 0 Combine like terms: 5x + 9x = 14x -19 + 14x = 0 Solving -19 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 14x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 14x = 0 + 19 14x = 0 + 19 Combine like terms: 0 + 19 = 19 14x = 19 Divide each side by '14'. x = 1.357142857 Simplifying x = 1.357142857
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