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