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Simplifying 2a + 3(x + 1) = 15 Reorder the terms: 2a + 3(1 + x) = 15 2a + (1 * 3 + x * 3) = 15 2a + (3 + 3x) = 15 Reorder the terms: 3 + 2a + 3x = 15 Solving 3 + 2a + 3x = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2a + -3 + 3x = 15 + -3 Reorder the terms: 3 + -3 + 2a + 3x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 2a + 3x = 15 + -3 2a + 3x = 15 + -3 Combine like terms: 15 + -3 = 12 2a + 3x = 12 Add '-3x' to each side of the equation. 2a + 3x + -3x = 12 + -3x Combine like terms: 3x + -3x = 0 2a + 0 = 12 + -3x 2a = 12 + -3x Divide each side by '2'. a = 6 + -1.5x Simplifying a = 6 + -1.5x
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