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Simplifying 9(x + -1) = -5(x + 4) + 47 Reorder the terms: 9(-1 + x) = -5(x + 4) + 47 (-1 * 9 + x * 9) = -5(x + 4) + 47 (-9 + 9x) = -5(x + 4) + 47 Reorder the terms: -9 + 9x = -5(4 + x) + 47 -9 + 9x = (4 * -5 + x * -5) + 47 -9 + 9x = (-20 + -5x) + 47 Reorder the terms: -9 + 9x = -20 + 47 + -5x Combine like terms: -20 + 47 = 27 -9 + 9x = 27 + -5x Solving -9 + 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. -9 + 9x + 5x = 27 + -5x + 5x Combine like terms: 9x + 5x = 14x -9 + 14x = 27 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 14x = 27 + 0 -9 + 14x = 27 Add '9' to each side of the equation. -9 + 9 + 14x = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 27 + 9 14x = 27 + 9 Combine like terms: 27 + 9 = 36 14x = 36 Divide each side by '14'. x = 2.571428571 Simplifying x = 2.571428571
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