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Simplifying 2(6a + 5b) + -5(3a + -4b) = x (6a * 2 + 5b * 2) + -5(3a + -4b) = x (12a + 10b) + -5(3a + -4b) = x 12a + 10b + (3a * -5 + -4b * -5) = x 12a + 10b + (-15a + 20b) = x Reorder the terms: 12a + -15a + 10b + 20b = x Combine like terms: 12a + -15a = -3a -3a + 10b + 20b = x Combine like terms: 10b + 20b = 30b -3a + 30b = x Solving -3a + 30b = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30b' to each side of the equation. -3a + 30b + -30b = -30b + x Combine like terms: 30b + -30b = 0 -3a + 0 = -30b + x -3a = -30b + x Divide each side by '-3'. a = 10b + -0.3333333333x Simplifying a = 10b + -0.3333333333x
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