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Simplifying (3a + 4) + 18 + (x2 + -15) = (a + 10) + 2x + 18 Reorder the terms: (4 + 3a) + 18 + (x2 + -15) = (a + 10) + 2x + 18 Remove parenthesis around (4 + 3a) 4 + 3a + 18 + (x2 + -15) = (a + 10) + 2x + 18 Reorder the terms: 4 + 3a + 18 + (-15 + x2) = (a + 10) + 2x + 18 Remove parenthesis around (-15 + x2) 4 + 3a + 18 + -15 + x2 = (a + 10) + 2x + 18 Reorder the terms: 4 + 18 + -15 + 3a + x2 = (a + 10) + 2x + 18 Combine like terms: 4 + 18 = 22 22 + -15 + 3a + x2 = (a + 10) + 2x + 18 Combine like terms: 22 + -15 = 7 7 + 3a + x2 = (a + 10) + 2x + 18 Reorder the terms: 7 + 3a + x2 = (10 + a) + 2x + 18 Remove parenthesis around (10 + a) 7 + 3a + x2 = 10 + a + 2x + 18 Reorder the terms: 7 + 3a + x2 = 10 + 18 + a + 2x Combine like terms: 10 + 18 = 28 7 + 3a + x2 = 28 + a + 2x Solving 7 + 3a + x2 = 28 + a + 2x 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. 7 + 3a + -1a + x2 = 28 + a + -1a + 2x Combine like terms: 3a + -1a = 2a 7 + 2a + x2 = 28 + a + -1a + 2x Combine like terms: a + -1a = 0 7 + 2a + x2 = 28 + 0 + 2x 7 + 2a + x2 = 28 + 2x Add '-7' to each side of the equation. 7 + 2a + -7 + x2 = 28 + -7 + 2x Reorder the terms: 7 + -7 + 2a + x2 = 28 + -7 + 2x Combine like terms: 7 + -7 = 0 0 + 2a + x2 = 28 + -7 + 2x 2a + x2 = 28 + -7 + 2x Combine like terms: 28 + -7 = 21 2a + x2 = 21 + 2x Add '-1x2' to each side of the equation. 2a + x2 + -1x2 = 21 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 2a + 0 = 21 + 2x + -1x2 2a = 21 + 2x + -1x2 Divide each side by '2'. a = 10.5 + x + -0.5x2 Simplifying a = 10.5 + x + -0.5x2
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