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Simplifying (1 + -1x)(2a + -1) = 2(a + 2) Reorder the terms: (1 + -1x)(-1 + 2a) = 2(a + 2) Multiply (1 + -1x) * (-1 + 2a) (1(-1 + 2a) + -1x * (-1 + 2a)) = 2(a + 2) ((-1 * 1 + 2a * 1) + -1x * (-1 + 2a)) = 2(a + 2) ((-1 + 2a) + -1x * (-1 + 2a)) = 2(a + 2) (-1 + 2a + (-1 * -1x + 2a * -1x)) = 2(a + 2) Reorder the terms: (-1 + 2a + (-2ax + 1x)) = 2(a + 2) (-1 + 2a + (-2ax + 1x)) = 2(a + 2) (-1 + 2a + -2ax + 1x) = 2(a + 2) Reorder the terms: -1 + 2a + -2ax + 1x = 2(2 + a) -1 + 2a + -2ax + 1x = (2 * 2 + a * 2) -1 + 2a + -2ax + 1x = (4 + 2a) Add '-2a' to each side of the equation. -1 + 2a + -2ax + -2a + 1x = 4 + 2a + -2a Reorder the terms: -1 + 2a + -2a + -2ax + 1x = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + 0 + -2ax + 1x = 4 + 2a + -2a -1 + -2ax + 1x = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + -2ax + 1x = 4 + 0 -1 + -2ax + 1x = 4 Solving -1 + -2ax + 1x = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2ax + 1 + 1x = 4 + 1 Reorder the terms: -1 + 1 + -2ax + 1x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -2ax + 1x = 4 + 1 -2ax + 1x = 4 + 1 Combine like terms: 4 + 1 = 5 -2ax + 1x = 5 Add '-1x' to each side of the equation. -2ax + 1x + -1x = 5 + -1x Combine like terms: 1x + -1x = 0 -2ax + 0 = 5 + -1x -2ax = 5 + -1x Divide each side by '-2x'. a = -2.5x-1 + 0.5 Simplifying a = -2.5x-1 + 0.5 Reorder the terms: a = 0.5 + -2.5x-1
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