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Simplifying x + (a + -3) = (x + 5) + -1(x + 2) Reorder the terms: x + (-3 + a) = (x + 5) + -1(x + 2) Remove parenthesis around (-3 + a) x + -3 + a = (x + 5) + -1(x + 2) Reorder the terms: -3 + a + x = (x + 5) + -1(x + 2) Reorder the terms: -3 + a + x = (5 + x) + -1(x + 2) Remove parenthesis around (5 + x) -3 + a + x = 5 + x + -1(x + 2) Reorder the terms: -3 + a + x = 5 + x + -1(2 + x) -3 + a + x = 5 + x + (2 * -1 + x * -1) -3 + a + x = 5 + x + (-2 + -1x) Reorder the terms: -3 + a + x = 5 + -2 + x + -1x Combine like terms: 5 + -2 = 3 -3 + a + x = 3 + x + -1x Combine like terms: x + -1x = 0 -3 + a + x = 3 + 0 -3 + a + x = 3 Solving -3 + a + x = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + a + 3 + x = 3 + 3 Reorder the terms: -3 + 3 + a + x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + a + x = 3 + 3 a + x = 3 + 3 Combine like terms: 3 + 3 = 6 a + x = 6 Add '-1x' to each side of the equation. a + x + -1x = 6 + -1x Combine like terms: x + -1x = 0 a + 0 = 6 + -1x a = 6 + -1x Simplifying a = 6 + -1x
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