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Simplifying 3a + 5 = 9x + -7a Reorder the terms: 5 + 3a = 9x + -7a Reorder the terms: 5 + 3a = -7a + 9x Solving 5 + 3a = -7a + 9x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 5 + 3a + 7a = -7a + 7a + 9x Combine like terms: 3a + 7a = 10a 5 + 10a = -7a + 7a + 9x Combine like terms: -7a + 7a = 0 5 + 10a = 0 + 9x 5 + 10a = 9x Add '-5' to each side of the equation. 5 + -5 + 10a = -5 + 9x Combine like terms: 5 + -5 = 0 0 + 10a = -5 + 9x 10a = -5 + 9x Divide each side by '10'. a = -0.5 + 0.9x Simplifying a = -0.5 + 0.9x
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