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Simplifying 5(x + -1) = -9(x + 4) + 47 Reorder the terms: 5(-1 + x) = -9(x + 4) + 47 (-1 * 5 + x * 5) = -9(x + 4) + 47 (-5 + 5x) = -9(x + 4) + 47 Reorder the terms: -5 + 5x = -9(4 + x) + 47 -5 + 5x = (4 * -9 + x * -9) + 47 -5 + 5x = (-36 + -9x) + 47 Reorder the terms: -5 + 5x = -36 + 47 + -9x Combine like terms: -36 + 47 = 11 -5 + 5x = 11 + -9x Solving -5 + 5x = 11 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -5 + 5x + 9x = 11 + -9x + 9x Combine like terms: 5x + 9x = 14x -5 + 14x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + 14x = 11 + 0 -5 + 14x = 11 Add '5' to each side of the equation. -5 + 5 + 14x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 11 + 5 14x = 11 + 5 Combine like terms: 11 + 5 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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