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Simplifying 3a + -5b + 6(2a + 2b) = x 3a + -5b + (2a * 6 + 2b * 6) = x 3a + -5b + (12a + 12b) = x Reorder the terms: 3a + 12a + -5b + 12b = x Combine like terms: 3a + 12a = 15a 15a + -5b + 12b = x Combine like terms: -5b + 12b = 7b 15a + 7b = x Solving 15a + 7b = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 15a + 7b + -7b = -7b + x Combine like terms: 7b + -7b = 0 15a + 0 = -7b + x 15a = -7b + x Divide each side by '15'. a = -0.4666666667b + 0.06666666667x Simplifying a = -0.4666666667b + 0.06666666667x
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