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Simplifying 2(a + -1x) + b = 3a + -1x (a * 2 + -1x * 2) + b = 3a + -1x (2a + -2x) + b = 3a + -1x Reorder the terms: 2a + b + -2x = 3a + -1x Solving 2a + b + -2x = 3a + -1x 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. 2a + b + -3a + -2x = 3a + -3a + -1x Reorder the terms: 2a + -3a + b + -2x = 3a + -3a + -1x Combine like terms: 2a + -3a = -1a -1a + b + -2x = 3a + -3a + -1x Combine like terms: 3a + -3a = 0 -1a + b + -2x = 0 + -1x -1a + b + -2x = -1x Add '-1b' to each side of the equation. -1a + b + -1b + -2x = -1b + -1x Combine like terms: b + -1b = 0 -1a + 0 + -2x = -1b + -1x -1a + -2x = -1b + -1x Add '2x' to each side of the equation. -1a + -2x + 2x = -1b + -1x + 2x Combine like terms: -2x + 2x = 0 -1a + 0 = -1b + -1x + 2x -1a = -1b + -1x + 2x Combine like terms: -1x + 2x = 1x -1a = -1b + 1x Divide each side by '-1'. a = b + -1x Simplifying a = b + -1x
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