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Simplifying 9 + 9(x + -5) = 8 + -5(x + -9) Reorder the terms: 9 + 9(-5 + x) = 8 + -5(x + -9) 9 + (-5 * 9 + x * 9) = 8 + -5(x + -9) 9 + (-45 + 9x) = 8 + -5(x + -9) Combine like terms: 9 + -45 = -36 -36 + 9x = 8 + -5(x + -9) Reorder the terms: -36 + 9x = 8 + -5(-9 + x) -36 + 9x = 8 + (-9 * -5 + x * -5) -36 + 9x = 8 + (45 + -5x) Combine like terms: 8 + 45 = 53 -36 + 9x = 53 + -5x Solving -36 + 9x = 53 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -36 + 9x + 5x = 53 + -5x + 5x Combine like terms: 9x + 5x = 14x -36 + 14x = 53 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + 14x = 53 + 0 -36 + 14x = 53 Add '36' to each side of the equation. -36 + 36 + 14x = 53 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = 53 + 36 14x = 53 + 36 Combine like terms: 53 + 36 = 89 14x = 89 Divide each side by '14'. x = 6.357142857 Simplifying x = 6.357142857
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