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Simplifying 6(a + x) = b + -9 + 2x (a * 6 + x * 6) = b + -9 + 2x (6a + 6x) = b + -9 + 2x Reorder the terms: 6a + 6x = -9 + b + 2x Solving 6a + 6x = -9 + b + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. 6a + 6x + -6x = -9 + b + 2x + -6x Combine like terms: 6x + -6x = 0 6a + 0 = -9 + b + 2x + -6x 6a = -9 + b + 2x + -6x Combine like terms: 2x + -6x = -4x 6a = -9 + b + -4x Divide each side by '6'. a = -1.5 + 0.1666666667b + -0.6666666667x Simplifying a = -1.5 + 0.1666666667b + -0.6666666667x
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