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Simplifying 2(3x + -1a) + -4(x + -1a) = 3(x + -1a) Reorder the terms: 2(-1a + 3x) + -4(x + -1a) = 3(x + -1a) (-1a * 2 + 3x * 2) + -4(x + -1a) = 3(x + -1a) (-2a + 6x) + -4(x + -1a) = 3(x + -1a) Reorder the terms: -2a + 6x + -4(-1a + x) = 3(x + -1a) -2a + 6x + (-1a * -4 + x * -4) = 3(x + -1a) -2a + 6x + (4a + -4x) = 3(x + -1a) Reorder the terms: -2a + 4a + 6x + -4x = 3(x + -1a) Combine like terms: -2a + 4a = 2a 2a + 6x + -4x = 3(x + -1a) Combine like terms: 6x + -4x = 2x 2a + 2x = 3(x + -1a) Reorder the terms: 2a + 2x = 3(-1a + x) 2a + 2x = (-1a * 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 = 5a 5a + 2x = -3a + 3a + 3x Combine like terms: -3a + 3a = 0 5a + 2x = 0 + 3x 5a + 2x = 3x Add '-2x' to each side of the equation. 5a + 2x + -2x = 3x + -2x Combine like terms: 2x + -2x = 0 5a + 0 = 3x + -2x 5a = 3x + -2x Combine like terms: 3x + -2x = 1x 5a = 1x Divide each side by '5'. a = 0.2x Simplifying a = 0.2x
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