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Simplifying 5(3 + a) = 3(a + 2x) (3 * 5 + a * 5) = 3(a + 2x) (15 + 5a) = 3(a + 2x) 15 + 5a = (a * 3 + 2x * 3) 15 + 5a = (3a + 6x) Solving 15 + 5a = 3a + 6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 15 + 5a + -3a = 3a + -3a + 6x Combine like terms: 5a + -3a = 2a 15 + 2a = 3a + -3a + 6x Combine like terms: 3a + -3a = 0 15 + 2a = 0 + 6x 15 + 2a = 6x Add '-15' to each side of the equation. 15 + -15 + 2a = -15 + 6x Combine like terms: 15 + -15 = 0 0 + 2a = -15 + 6x 2a = -15 + 6x Divide each side by '2'. a = -7.5 + 3x Simplifying a = -7.5 + 3x
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