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Simplifying x + 9a = 46 + a(2) + -9a Reorder the terms: 9a + x = 46 + a(2) + -9a Reorder the terms for easier multiplication: 9a + x = 46 + 2a + -9a Combine like terms: 2a + -9a = -7a 9a + x = 46 + -7a Solving 9a + x = 46 + -7a 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. 9a + 7a + x = 46 + -7a + 7a Combine like terms: 9a + 7a = 16a 16a + x = 46 + -7a + 7a Combine like terms: -7a + 7a = 0 16a + x = 46 + 0 16a + x = 46 Add '-1x' to each side of the equation. 16a + x + -1x = 46 + -1x Combine like terms: x + -1x = 0 16a + 0 = 46 + -1x 16a = 46 + -1x Divide each side by '16'. a = 2.875 + -0.0625x Simplifying a = 2.875 + -0.0625x
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