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Simplifying a + (x + 4) = (a + 4) + -1(a + 1) Reorder the terms: a + (4 + x) = (a + 4) + -1(a + 1) Remove parenthesis around (4 + x) a + 4 + x = (a + 4) + -1(a + 1) Reorder the terms: 4 + a + x = (a + 4) + -1(a + 1) Reorder the terms: 4 + a + x = (4 + a) + -1(a + 1) Remove parenthesis around (4 + a) 4 + a + x = 4 + a + -1(a + 1) Reorder the terms: 4 + a + x = 4 + a + -1(1 + a) 4 + a + x = 4 + a + (1 * -1 + a * -1) 4 + a + x = 4 + a + (-1 + -1a) Reorder the terms: 4 + a + x = 4 + -1 + a + -1a Combine like terms: 4 + -1 = 3 4 + a + x = 3 + a + -1a Combine like terms: a + -1a = 0 4 + a + x = 3 + 0 4 + a + x = 3 Solving 4 + a + x = 3 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 + a + -4 + x = 3 + -4 Reorder the terms: 4 + -4 + a + x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + a + x = 3 + -4 a + x = 3 + -4 Combine like terms: 3 + -4 = -1 a + x = -1 Add '-1x' to each side of the equation. a + x + -1x = -1 + -1x Combine like terms: x + -1x = 0 a + 0 = -1 + -1x a = -1 + -1x Simplifying a = -1 + -1x
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