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Simplifying 7(6 + -2a) = 5(-3a + 1) * x (6 * 7 + -2a * 7) = 5(-3a + 1) * x (42 + -14a) = 5(-3a + 1) * x Reorder the terms: 42 + -14a = 5(1 + -3a) * x Reorder the terms for easier multiplication: 42 + -14a = 5x(1 + -3a) 42 + -14a = (1 * 5x + -3a * 5x) Reorder the terms: 42 + -14a = (-15ax + 5x) 42 + -14a = (-15ax + 5x) Solving 42 + -14a = -15ax + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15ax' to each side of the equation. 42 + -14a + 15ax = -15ax + 15ax + 5x Combine like terms: -15ax + 15ax = 0 42 + -14a + 15ax = 0 + 5x 42 + -14a + 15ax = 5x Add '-42' to each side of the equation. 42 + -14a + -42 + 15ax = -42 + 5x Reorder the terms: 42 + -42 + -14a + 15ax = -42 + 5x Combine like terms: 42 + -42 = 0 0 + -14a + 15ax = -42 + 5x -14a + 15ax = -42 + 5x Reorder the terms: 42 + -14a + 15ax + -5x = -42 + 5x + 42 + -5x Reorder the terms: 42 + -14a + 15ax + -5x = -42 + 42 + 5x + -5x Combine like terms: -42 + 42 = 0 42 + -14a + 15ax + -5x = 0 + 5x + -5x 42 + -14a + 15ax + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 42 + -14a + 15ax + -5x = 0 The solution to this equation could not be determined.
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