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Simplifying 4 + 9(x + -1) = 9 + -5(x + -5) Reorder the terms: 4 + 9(-1 + x) = 9 + -5(x + -5) 4 + (-1 * 9 + x * 9) = 9 + -5(x + -5) 4 + (-9 + 9x) = 9 + -5(x + -5) Combine like terms: 4 + -9 = -5 -5 + 9x = 9 + -5(x + -5) Reorder the terms: -5 + 9x = 9 + -5(-5 + x) -5 + 9x = 9 + (-5 * -5 + x * -5) -5 + 9x = 9 + (25 + -5x) Combine like terms: 9 + 25 = 34 -5 + 9x = 34 + -5x Solving -5 + 9x = 34 + -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. -5 + 9x + 5x = 34 + -5x + 5x Combine like terms: 9x + 5x = 14x -5 + 14x = 34 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 14x = 34 + 0 -5 + 14x = 34 Add '5' to each side of the equation. -5 + 5 + 14x = 34 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 34 + 5 14x = 34 + 5 Combine like terms: 34 + 5 = 39 14x = 39 Divide each side by '14'. x = 2.785714286 Simplifying x = 2.785714286
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