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Simplifying 4(x + -6) = 2x + a Reorder the terms: 4(-6 + x) = 2x + a (-6 * 4 + x * 4) = 2x + a (-24 + 4x) = 2x + a Reorder the terms: -24 + 4x = a + 2x Solving -24 + 4x = a + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 4x + -2x = a + 2x + -2x Combine like terms: 4x + -2x = 2x -24 + 2x = a + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 2x = a + 0 -24 + 2x = a Add '24' to each side of the equation. -24 + 24 + 2x = 24 + a Combine like terms: -24 + 24 = 0 0 + 2x = 24 + a 2x = 24 + a Divide each side by '2'. x = 12 + 0.5a Simplifying x = 12 + 0.5a
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