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Simplifying 2x + -2 + -1(a + 1) = a Reorder the terms: 2x + -2 + -1(1 + a) = a 2x + -2 + (1 * -1 + a * -1) = a 2x + -2 + (-1 + -1a) = a Reorder the terms: -2 + -1 + -1a + 2x = a Combine like terms: -2 + -1 = -3 -3 + -1a + 2x = a Solving -3 + -1a + 2x = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -3 + -1a + -1a + 2x = a + -1a Combine like terms: -1a + -1a = -2a -3 + -2a + 2x = a + -1a Combine like terms: a + -1a = 0 -3 + -2a + 2x = 0 Add '3' to each side of the equation. -3 + -2a + 3 + 2x = 0 + 3 Reorder the terms: -3 + 3 + -2a + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2a + 2x = 0 + 3 -2a + 2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2a + 2x = 3 Add '-2x' to each side of the equation. -2a + 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 -2a + 0 = 3 + -2x -2a = 3 + -2x Divide each side by '-2'. a = -1.5 + x Simplifying a = -1.5 + x
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