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Simplifying Ax + -5a + 3 + 4x = 2a + 1 Reorder the terms: 3 + -5a + 4x + xA = 2a + 1 Reorder the terms: 3 + -5a + 4x + xA = 1 + 2a Solving 3 + -5a + 4x + xA = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 3 + -5a + 4x + -2a + xA = 1 + 2a + -2a Reorder the terms: 3 + -5a + -2a + 4x + xA = 1 + 2a + -2a Combine like terms: -5a + -2a = -7a 3 + -7a + 4x + xA = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + -7a + 4x + xA = 1 + 0 3 + -7a + 4x + xA = 1 Add '-3' to each side of the equation. 3 + -7a + 4x + -3 + xA = 1 + -3 Reorder the terms: 3 + -3 + -7a + 4x + xA = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -7a + 4x + xA = 1 + -3 -7a + 4x + xA = 1 + -3 Combine like terms: 1 + -3 = -2 -7a + 4x + xA = -2 Add '-4x' to each side of the equation. -7a + 4x + -4x + xA = -2 + -4x Combine like terms: 4x + -4x = 0 -7a + 0 + xA = -2 + -4x -7a + xA = -2 + -4x Add '-1xA' to each side of the equation. -7a + xA + -1xA = -2 + -4x + -1xA Combine like terms: xA + -1xA = 0 -7a + 0 = -2 + -4x + -1xA -7a = -2 + -4x + -1xA Divide each side by '-7'. a = 0.2857142857 + 0.5714285714x + 0.1428571429xA Simplifying a = 0.2857142857 + 0.5714285714x + 0.1428571429xA
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