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Simplifying 9(x + -3) = -5(x + 4) + 47 Reorder the terms: 9(-3 + x) = -5(x + 4) + 47 (-3 * 9 + x * 9) = -5(x + 4) + 47 (-27 + 9x) = -5(x + 4) + 47 Reorder the terms: -27 + 9x = -5(4 + x) + 47 -27 + 9x = (4 * -5 + x * -5) + 47 -27 + 9x = (-20 + -5x) + 47 Reorder the terms: -27 + 9x = -20 + 47 + -5x Combine like terms: -20 + 47 = 27 -27 + 9x = 27 + -5x Solving -27 + 9x = 27 + -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 = 27 + -5x + 5x Combine like terms: 9x + 5x = 14x -27 + 14x = 27 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 14x = 27 + 0 -27 + 14x = 27 Add '27' to each side of the equation. -27 + 27 + 14x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 14x = 27 + 27 14x = 27 + 27 Combine like terms: 27 + 27 = 54 14x = 54 Divide each side by '14'. x = 3.857142857 Simplifying x = 3.857142857
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