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Simplifying 2(3x + -1a) + -4(x + -1a) = 3(x + a) Reorder the terms: 2(-1a + 3x) + -4(x + -1a) = 3(x + a) (-1a * 2 + 3x * 2) + -4(x + -1a) = 3(x + a) (-2a + 6x) + -4(x + -1a) = 3(x + a) Reorder the terms: -2a + 6x + -4(-1a + x) = 3(x + a) -2a + 6x + (-1a * -4 + x * -4) = 3(x + a) -2a + 6x + (4a + -4x) = 3(x + a) Reorder the terms: -2a + 4a + 6x + -4x = 3(x + a) Combine like terms: -2a + 4a = 2a 2a + 6x + -4x = 3(x + a) Combine like terms: 6x + -4x = 2x 2a + 2x = 3(x + a) Reorder the terms: 2a + 2x = 3(a + x) 2a + 2x = (a * 3 + x * 3) 2a + 2x = (3a + 3x) Solving 2a + 2x = 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. 2a + -3a + 2x = 3a + -3a + 3x Combine like terms: 2a + -3a = -1a -1a + 2x = 3a + -3a + 3x Combine like terms: 3a + -3a = 0 -1a + 2x = 0 + 3x -1a + 2x = 3x Add '-2x' to each side of the equation. -1a + 2x + -2x = 3x + -2x Combine like terms: 2x + -2x = 0 -1a + 0 = 3x + -2x -1a = 3x + -2x Combine like terms: 3x + -2x = 1x -1a = 1x Divide each side by '-1'. a = -1x Simplifying a = -1x
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