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Simplifying 3x(5 + -3a) + 5 = 2x + -1a (5 * 3x + -3a * 3x) + 5 = 2x + -1a Reorder the terms: (-9ax + 15x) + 5 = 2x + -1a (-9ax + 15x) + 5 = 2x + -1a Reorder the terms: 5 + -9ax + 15x = 2x + -1a Reorder the terms: 5 + -9ax + 15x = -1a + 2x Solving 5 + -9ax + 15x = -1a + 2x 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. 5 + -9ax + a + 15x = -1a + a + 2x Reorder the terms: 5 + a + -9ax + 15x = -1a + a + 2x Combine like terms: -1a + a = 0 5 + a + -9ax + 15x = 0 + 2x 5 + a + -9ax + 15x = 2x Add '-5' to each side of the equation. 5 + a + -9ax + -5 + 15x = -5 + 2x Reorder the terms: 5 + -5 + a + -9ax + 15x = -5 + 2x Combine like terms: 5 + -5 = 0 0 + a + -9ax + 15x = -5 + 2x a + -9ax + 15x = -5 + 2x Add '-15x' to each side of the equation. a + -9ax + 15x + -15x = -5 + 2x + -15x Combine like terms: 15x + -15x = 0 a + -9ax + 0 = -5 + 2x + -15x a + -9ax = -5 + 2x + -15x Combine like terms: 2x + -15x = -13x a + -9ax = -5 + -13x Reorder the terms: 5 + a + -9ax + 13x = -5 + -13x + 5 + 13x Reorder the terms: 5 + a + -9ax + 13x = -5 + 5 + -13x + 13x Combine like terms: -5 + 5 = 0 5 + a + -9ax + 13x = 0 + -13x + 13x 5 + a + -9ax + 13x = -13x + 13x Combine like terms: -13x + 13x = 0 5 + a + -9ax + 13x = 0 The solution to this equation could not be determined.
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