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Simplifying 2(x + -4) = 4a + -1(2x + 4) Reorder the terms: 2(-4 + x) = 4a + -1(2x + 4) (-4 * 2 + x * 2) = 4a + -1(2x + 4) (-8 + 2x) = 4a + -1(2x + 4) Reorder the terms: -8 + 2x = 4a + -1(4 + 2x) -8 + 2x = 4a + (4 * -1 + 2x * -1) -8 + 2x = 4a + (-4 + -2x) Reorder the terms: -8 + 2x = -4 + 4a + -2x Solving -8 + 2x = -4 + 4a + -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. -8 + 2x + 2x = -4 + 4a + -2x + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = -4 + 4a + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 4x = -4 + 4a + 0 -8 + 4x = -4 + 4a Add '8' to each side of the equation. -8 + 8 + 4x = -4 + 8 + 4a Combine like terms: -8 + 8 = 0 0 + 4x = -4 + 8 + 4a 4x = -4 + 8 + 4a Combine like terms: -4 + 8 = 4 4x = 4 + 4a Divide each side by '4'. x = 1 + a Simplifying x = 1 + a
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