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Simplifying 2(x + -1a) + 4b = 3x + -1a Reorder the terms: 2(-1a + x) + 4b = 3x + -1a (-1a * 2 + x * 2) + 4b = 3x + -1a (-2a + 2x) + 4b = 3x + -1a Reorder the terms: -2a + 4b + 2x = 3x + -1a Reorder the terms: -2a + 4b + 2x = -1a + 3x Solving -2a + 4b + 2x = -1a + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -2a + 4b + a + 2x = -1a + a + 3x Reorder the terms: -2a + a + 4b + 2x = -1a + a + 3x Combine like terms: -2a + a = -1a -1a + 4b + 2x = -1a + a + 3x Combine like terms: -1a + a = 0 -1a + 4b + 2x = 0 + 3x -1a + 4b + 2x = 3x Add '-4b' to each side of the equation. -1a + 4b + -4b + 2x = -4b + 3x Combine like terms: 4b + -4b = 0 -1a + 0 + 2x = -4b + 3x -1a + 2x = -4b + 3x Add '-2x' to each side of the equation. -1a + 2x + -2x = -4b + 3x + -2x Combine like terms: 2x + -2x = 0 -1a + 0 = -4b + 3x + -2x -1a = -4b + 3x + -2x Combine like terms: 3x + -2x = 1x -1a = -4b + 1x Divide each side by '-1'. a = 4b + -1x Simplifying a = 4b + -1x
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