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Simplifying 5(3a + 1) = 2(3x + 1) Reorder the terms: 5(1 + 3a) = 2(3x + 1) (1 * 5 + 3a * 5) = 2(3x + 1) (5 + 15a) = 2(3x + 1) Reorder the terms: 5 + 15a = 2(1 + 3x) 5 + 15a = (1 * 2 + 3x * 2) 5 + 15a = (2 + 6x) Solving 5 + 15a = 2 + 6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 15a = 2 + -5 + 6x Combine like terms: 5 + -5 = 0 0 + 15a = 2 + -5 + 6x 15a = 2 + -5 + 6x Combine like terms: 2 + -5 = -3 15a = -3 + 6x Divide each side by '15'. a = -0.2 + 0.4x Simplifying a = -0.2 + 0.4x
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