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Simplifying a + -1x = 3(x + -1a) Reorder the terms: a + -1x = 3(-1a + x) a + -1x = (-1a * 3 + x * 3) a + -1x = (-3a + 3x) Solving a + -1x = -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. a + 3a + -1x = -3a + 3a + 3x Combine like terms: a + 3a = 4a 4a + -1x = -3a + 3a + 3x Combine like terms: -3a + 3a = 0 4a + -1x = 0 + 3x 4a + -1x = 3x Add 'x' to each side of the equation. 4a + -1x + x = 3x + x Combine like terms: -1x + x = 0 4a + 0 = 3x + x 4a = 3x + x Combine like terms: 3x + x = 4x 4a = 4x Divide each side by '4'. a = x Simplifying a = x
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