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Simplifying 2x + -1a + 4 = 3x + 7 + 5a Reorder the terms: 4 + -1a + 2x = 3x + 7 + 5a Reorder the terms: 4 + -1a + 2x = 7 + 5a + 3x Solving 4 + -1a + 2x = 7 + 5a + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4 + -1a + -5a + 2x = 7 + 5a + -5a + 3x Combine like terms: -1a + -5a = -6a 4 + -6a + 2x = 7 + 5a + -5a + 3x Combine like terms: 5a + -5a = 0 4 + -6a + 2x = 7 + 0 + 3x 4 + -6a + 2x = 7 + 3x Add '-4' to each side of the equation. 4 + -6a + -4 + 2x = 7 + -4 + 3x Reorder the terms: 4 + -4 + -6a + 2x = 7 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + -6a + 2x = 7 + -4 + 3x -6a + 2x = 7 + -4 + 3x Combine like terms: 7 + -4 = 3 -6a + 2x = 3 + 3x Add '-2x' to each side of the equation. -6a + 2x + -2x = 3 + 3x + -2x Combine like terms: 2x + -2x = 0 -6a + 0 = 3 + 3x + -2x -6a = 3 + 3x + -2x Combine like terms: 3x + -2x = 1x -6a = 3 + 1x Divide each side by '-6'. a = -0.5 + -0.1666666667x Simplifying a = -0.5 + -0.1666666667x
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