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Simplifying 2(a + b) + -1(-1x + -1b) = 0 (a * 2 + b * 2) + -1(-1x + -1b) = 0 (2a + 2b) + -1(-1x + -1b) = 0 Reorder the terms: 2a + 2b + -1(-1b + -1x) = 0 2a + 2b + (-1b * -1 + -1x * -1) = 0 2a + 2b + (1b + 1x) = 0 Combine like terms: 2b + 1b = 3b 2a + 3b + 1x = 0 Solving 2a + 3b + 1x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b + 1x = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + 1x = 0 + -3b 2a + 1x = 0 + -3b Remove the zero: 2a + 1x = -3b Add '-1x' to each side of the equation. 2a + 1x + -1x = -3b + -1x Combine like terms: 1x + -1x = 0 2a + 0 = -3b + -1x 2a = -3b + -1x Divide each side by '2'. a = -1.5b + -0.5x Simplifying a = -1.5b + -0.5x
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