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Simplifying 2(8a + 3b) + -9(3b + 2a) = x (8a * 2 + 3b * 2) + -9(3b + 2a) = x (16a + 6b) + -9(3b + 2a) = x Reorder the terms: 16a + 6b + -9(2a + 3b) = x 16a + 6b + (2a * -9 + 3b * -9) = x 16a + 6b + (-18a + -27b) = x Reorder the terms: 16a + -18a + 6b + -27b = x Combine like terms: 16a + -18a = -2a -2a + 6b + -27b = x Combine like terms: 6b + -27b = -21b -2a + -21b = x Solving -2a + -21b = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. -2a + -21b + 21b = 21b + x Combine like terms: -21b + 21b = 0 -2a + 0 = 21b + x -2a = 21b + x Divide each side by '-2'. a = -10.5b + -0.5x Simplifying a = -10.5b + -0.5x
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