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Simplifying 2(x + -1a) + b = a + 3x Reorder the terms: 2(-1a + x) + b = a + 3x (-1a * 2 + x * 2) + b = a + 3x (-2a + 2x) + b = a + 3x Reorder the terms: -2a + b + 2x = a + 3x Solving -2a + b + 2x = a + 3x 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. -2a + b + -1a + 2x = a + -1a + 3x Reorder the terms: -2a + -1a + b + 2x = a + -1a + 3x Combine like terms: -2a + -1a = -3a -3a + b + 2x = a + -1a + 3x Combine like terms: a + -1a = 0 -3a + b + 2x = 0 + 3x -3a + b + 2x = 3x Add '-1b' to each side of the equation. -3a + b + -1b + 2x = -1b + 3x Combine like terms: b + -1b = 0 -3a + 0 + 2x = -1b + 3x -3a + 2x = -1b + 3x Add '-2x' to each side of the equation. -3a + 2x + -2x = -1b + 3x + -2x Combine like terms: 2x + -2x = 0 -3a + 0 = -1b + 3x + -2x -3a = -1b + 3x + -2x Combine like terms: 3x + -2x = 1x -3a = -1b + 1x Divide each side by '-3'. a = 0.3333333333b + -0.3333333333x Simplifying a = 0.3333333333b + -0.3333333333x
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