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Simplifying 9 + 9(x + -8) = 9 + -5(x + -2) Reorder the terms: 9 + 9(-8 + x) = 9 + -5(x + -2) 9 + (-8 * 9 + x * 9) = 9 + -5(x + -2) 9 + (-72 + 9x) = 9 + -5(x + -2) Combine like terms: 9 + -72 = -63 -63 + 9x = 9 + -5(x + -2) Reorder the terms: -63 + 9x = 9 + -5(-2 + x) -63 + 9x = 9 + (-2 * -5 + x * -5) -63 + 9x = 9 + (10 + -5x) Combine like terms: 9 + 10 = 19 -63 + 9x = 19 + -5x Solving -63 + 9x = 19 + -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. -63 + 9x + 5x = 19 + -5x + 5x Combine like terms: 9x + 5x = 14x -63 + 14x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -63 + 14x = 19 + 0 -63 + 14x = 19 Add '63' to each side of the equation. -63 + 63 + 14x = 19 + 63 Combine like terms: -63 + 63 = 0 0 + 14x = 19 + 63 14x = 19 + 63 Combine like terms: 19 + 63 = 82 14x = 82 Divide each side by '14'. x = 5.857142857 Simplifying x = 5.857142857
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