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Simplifying x + (x + -4) = (x + 5) + -1(a + 1) Reorder the terms: x + (-4 + x) = (x + 5) + -1(a + 1) Remove parenthesis around (-4 + x) x + -4 + x = (x + 5) + -1(a + 1) Reorder the terms: -4 + x + x = (x + 5) + -1(a + 1) Combine like terms: x + x = 2x -4 + 2x = (x + 5) + -1(a + 1) Reorder the terms: -4 + 2x = (5 + x) + -1(a + 1) Remove parenthesis around (5 + x) -4 + 2x = 5 + x + -1(a + 1) Reorder the terms: -4 + 2x = 5 + x + -1(1 + a) -4 + 2x = 5 + x + (1 * -1 + a * -1) -4 + 2x = 5 + x + (-1 + -1a) Reorder the terms: -4 + 2x = 5 + -1 + -1a + x Combine like terms: 5 + -1 = 4 -4 + 2x = 4 + -1a + x Solving -4 + 2x = 4 + -1a + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 2x + -1x = 4 + -1a + x + -1x Combine like terms: 2x + -1x = 1x -4 + 1x = 4 + -1a + x + -1x Combine like terms: x + -1x = 0 -4 + 1x = 4 + -1a + 0 -4 + 1x = 4 + -1a Add '4' to each side of the equation. -4 + 4 + 1x = 4 + 4 + -1a Combine like terms: -4 + 4 = 0 0 + 1x = 4 + 4 + -1a 1x = 4 + 4 + -1a Combine like terms: 4 + 4 = 8 1x = 8 + -1a Divide each side by '1'. x = 8 + -1a Simplifying x = 8 + -1a
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