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Simplifying 2(x + -1a) = 5a + ax + -15 Reorder the terms: 2(-1a + x) = 5a + ax + -15 (-1a * 2 + x * 2) = 5a + ax + -15 (-2a + 2x) = 5a + ax + -15 Reorder the terms: -2a + 2x = -15 + 5a + ax Solving -2a + 2x = -15 + 5a + ax 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. -2a + -5a + 2x = -15 + 5a + -5a + ax Combine like terms: -2a + -5a = -7a -7a + 2x = -15 + 5a + -5a + ax Combine like terms: 5a + -5a = 0 -7a + 2x = -15 + 0 + ax -7a + 2x = -15 + ax Add '-1ax' to each side of the equation. -7a + -1ax + 2x = -15 + ax + -1ax Combine like terms: ax + -1ax = 0 -7a + -1ax + 2x = -15 + 0 -7a + -1ax + 2x = -15 Add '-2x' to each side of the equation. -7a + -1ax + 2x + -2x = -15 + -2x Combine like terms: 2x + -2x = 0 -7a + -1ax + 0 = -15 + -2x -7a + -1ax = -15 + -2x Reorder the terms: 15 + -7a + -1ax + 2x = -15 + -2x + 15 + 2x Reorder the terms: 15 + -7a + -1ax + 2x = -15 + 15 + -2x + 2x Combine like terms: -15 + 15 = 0 15 + -7a + -1ax + 2x = 0 + -2x + 2x 15 + -7a + -1ax + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 15 + -7a + -1ax + 2x = 0 The solution to this equation could not be determined.
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