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Simplifying x + 2(a + -1b) + -1(x + 3b) = 0 x + (a * 2 + -1b * 2) + -1(x + 3b) = 0 x + (2a + -2b) + -1(x + 3b) = 0 Reorder the terms: x + 2a + -2b + -1(3b + x) = 0 x + 2a + -2b + (3b * -1 + x * -1) = 0 x + 2a + -2b + (-3b + -1x) = 0 Reorder the terms: 2a + -2b + -3b + x + -1x = 0 Combine like terms: -2b + -3b = -5b 2a + -5b + x + -1x = 0 Combine like terms: x + -1x = 0 2a + -5b + 0 = 0 2a + -5b = 0 Solving 2a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 2a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 2a + 0 = 0 + 5b 2a = 0 + 5b Remove the zero: 2a = 5b Divide each side by '2'. a = 2.5b Simplifying a = 2.5b
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