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Simplifying 4 + 2x + -1(a + 4x) = 9 + -2x 4 + 2x + (a * -1 + 4x * -1) = 9 + -2x 4 + 2x + (-1a + -4x) = 9 + -2x Reorder the terms: 4 + -1a + 2x + -4x = 9 + -2x Combine like terms: 2x + -4x = -2x 4 + -1a + -2x = 9 + -2x Add '2x' to each side of the equation. 4 + -1a + -2x + 2x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -1a + 0 = 9 + -2x + 2x 4 + -1a = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -1a = 9 + 0 4 + -1a = 9 Solving 4 + -1a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 9 + -4 -1a = 9 + -4 Combine like terms: 9 + -4 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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