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Simplifying 4a + -2x = 3(4x + -8a) Reorder the terms: 4a + -2x = 3(-8a + 4x) 4a + -2x = (-8a * 3 + 4x * 3) 4a + -2x = (-24a + 12x) Solving 4a + -2x = -24a + 12x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 4a + 24a + -2x = -24a + 24a + 12x Combine like terms: 4a + 24a = 28a 28a + -2x = -24a + 24a + 12x Combine like terms: -24a + 24a = 0 28a + -2x = 0 + 12x 28a + -2x = 12x Add '2x' to each side of the equation. 28a + -2x + 2x = 12x + 2x Combine like terms: -2x + 2x = 0 28a + 0 = 12x + 2x 28a = 12x + 2x Combine like terms: 12x + 2x = 14x 28a = 14x Divide each side by '28'. a = 0.5x Simplifying a = 0.5x
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