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Simplifying 9(x + -1a) = 3(a + -1x) Reorder the terms: 9(-1a + x) = 3(a + -1x) (-1a * 9 + x * 9) = 3(a + -1x) (-9a + 9x) = 3(a + -1x) -9a + 9x = (a * 3 + -1x * 3) -9a + 9x = (3a + -3x) Solving -9a + 9x = 3a + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -9a + -3a + 9x = 3a + -3a + -3x Combine like terms: -9a + -3a = -12a -12a + 9x = 3a + -3a + -3x Combine like terms: 3a + -3a = 0 -12a + 9x = 0 + -3x -12a + 9x = -3x Add '-9x' to each side of the equation. -12a + 9x + -9x = -3x + -9x Combine like terms: 9x + -9x = 0 -12a + 0 = -3x + -9x -12a = -3x + -9x Combine like terms: -3x + -9x = -12x -12a = -12x Divide each side by '-12'. a = x Simplifying a = x
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