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Simplifying x + (2a + 1) = 8 + -1(3a + 3) Reorder the terms: x + (1 + 2a) = 8 + -1(3a + 3) Remove parenthesis around (1 + 2a) x + 1 + 2a = 8 + -1(3a + 3) Reorder the terms: 1 + 2a + x = 8 + -1(3a + 3) Reorder the terms: 1 + 2a + x = 8 + -1(3 + 3a) 1 + 2a + x = 8 + (3 * -1 + 3a * -1) 1 + 2a + x = 8 + (-3 + -3a) Combine like terms: 8 + -3 = 5 1 + 2a + x = 5 + -3a Solving 1 + 2a + x = 5 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 1 + 2a + 3a + x = 5 + -3a + 3a Combine like terms: 2a + 3a = 5a 1 + 5a + x = 5 + -3a + 3a Combine like terms: -3a + 3a = 0 1 + 5a + x = 5 + 0 1 + 5a + x = 5 Add '-1' to each side of the equation. 1 + 5a + -1 + x = 5 + -1 Reorder the terms: 1 + -1 + 5a + x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 5a + x = 5 + -1 5a + x = 5 + -1 Combine like terms: 5 + -1 = 4 5a + x = 4 Add '-1x' to each side of the equation. 5a + x + -1x = 4 + -1x Combine like terms: x + -1x = 0 5a + 0 = 4 + -1x 5a = 4 + -1x Divide each side by '5'. a = 0.8 + -0.2x Simplifying a = 0.8 + -0.2x
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