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Simplifying 9 + 9(x + -4) = 3 + -5(x + -2) Reorder the terms: 9 + 9(-4 + x) = 3 + -5(x + -2) 9 + (-4 * 9 + x * 9) = 3 + -5(x + -2) 9 + (-36 + 9x) = 3 + -5(x + -2) Combine like terms: 9 + -36 = -27 -27 + 9x = 3 + -5(x + -2) Reorder the terms: -27 + 9x = 3 + -5(-2 + x) -27 + 9x = 3 + (-2 * -5 + x * -5) -27 + 9x = 3 + (10 + -5x) Combine like terms: 3 + 10 = 13 -27 + 9x = 13 + -5x Solving -27 + 9x = 13 + -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. -27 + 9x + 5x = 13 + -5x + 5x Combine like terms: 9x + 5x = 14x -27 + 14x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 14x = 13 + 0 -27 + 14x = 13 Add '27' to each side of the equation. -27 + 27 + 14x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 14x = 13 + 27 14x = 13 + 27 Combine like terms: 13 + 27 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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