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Simplifying (5x + 3a + -7x) + (2b + 3a + -1) = 0 Reorder the terms: (3a + 5x + -7x) + (2b + 3a + -1) = 0 Combine like terms: 5x + -7x = -2x (3a + -2x) + (2b + 3a + -1) = 0 Remove parenthesis around (3a + -2x) 3a + -2x + (2b + 3a + -1) = 0 Reorder the terms: 3a + -2x + (-1 + 3a + 2b) = 0 Remove parenthesis around (-1 + 3a + 2b) 3a + -2x + -1 + 3a + 2b = 0 Reorder the terms: -1 + 3a + 3a + 2b + -2x = 0 Combine like terms: 3a + 3a = 6a -1 + 6a + 2b + -2x = 0 Solving -1 + 6a + 2b + -2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6a + 2b + 1 + -2x = 0 + 1 Reorder the terms: -1 + 1 + 6a + 2b + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6a + 2b + -2x = 0 + 1 6a + 2b + -2x = 0 + 1 Combine like terms: 0 + 1 = 1 6a + 2b + -2x = 1 Add '-2b' to each side of the equation. 6a + 2b + -2b + -2x = 1 + -2b Combine like terms: 2b + -2b = 0 6a + 0 + -2x = 1 + -2b 6a + -2x = 1 + -2b Add '2x' to each side of the equation. 6a + -2x + 2x = 1 + -2b + 2x Combine like terms: -2x + 2x = 0 6a + 0 = 1 + -2b + 2x 6a = 1 + -2b + 2x Divide each side by '6'. a = 0.1666666667 + -0.3333333333b + 0.3333333333x Simplifying a = 0.1666666667 + -0.3333333333b + 0.3333333333x
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