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Simplifying 9(x + -1) + -6(x + -1) = 0 Reorder the terms: 9(-1 + x) + -6(x + -1) = 0 (-1 * 9 + x * 9) + -6(x + -1) = 0 (-9 + 9x) + -6(x + -1) = 0 Reorder the terms: -9 + 9x + -6(-1 + x) = 0 -9 + 9x + (-1 * -6 + x * -6) = 0 -9 + 9x + (6 + -6x) = 0 Reorder the terms: -9 + 6 + 9x + -6x = 0 Combine like terms: -9 + 6 = -3 -3 + 9x + -6x = 0 Combine like terms: 9x + -6x = 3x -3 + 3x = 0 Solving -3 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 0 + 3 3x = 0 + 3 Combine like terms: 0 + 3 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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