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Simplifying 9(a + x) = b + -1a + 2x (a * 9 + x * 9) = b + -1a + 2x (9a + 9x) = b + -1a + 2x Reorder the terms: 9a + 9x = -1a + b + 2x Solving 9a + 9x = -1a + b + 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. 9a + a + 9x = -1a + b + a + 2x Combine like terms: 9a + a = 10a 10a + 9x = -1a + b + a + 2x Reorder the terms: 10a + 9x = -1a + a + b + 2x Combine like terms: -1a + a = 0 10a + 9x = 0 + b + 2x 10a + 9x = b + 2x Add '-9x' to each side of the equation. 10a + 9x + -9x = b + 2x + -9x Combine like terms: 9x + -9x = 0 10a + 0 = b + 2x + -9x 10a = b + 2x + -9x Combine like terms: 2x + -9x = -7x 10a = b + -7x Divide each side by '10'. a = 0.1b + -0.7x Simplifying a = 0.1b + -0.7x
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