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Simplifying 3(4a + -2) = 7(x + 1) Reorder the terms: 3(-2 + 4a) = 7(x + 1) (-2 * 3 + 4a * 3) = 7(x + 1) (-6 + 12a) = 7(x + 1) Reorder the terms: -6 + 12a = 7(1 + x) -6 + 12a = (1 * 7 + x * 7) -6 + 12a = (7 + 7x) Solving -6 + 12a = 7 + 7x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12a = 7 + 6 + 7x Combine like terms: -6 + 6 = 0 0 + 12a = 7 + 6 + 7x 12a = 7 + 6 + 7x Combine like terms: 7 + 6 = 13 12a = 13 + 7x Divide each side by '12'. a = 1.083333333 + 0.5833333333x Simplifying a = 1.083333333 + 0.5833333333x
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